{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-09-03T01:10:40.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-09-03T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":61459,"title":"Calculate integrals using numerical methods 1.","description":"Calculate the following intergral using the SIMPLE \"Simpson 1/3\" rule:\r\n\r\nFurther explanation:\r\na is the upper limit of the integral and it will be given.   \r\nGOOD LUCK!!!!!!!!!!! ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 166px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 83px; transform-origin: 469px 83px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the following intergral using the SIMPLE \"Simpson 1/3\" rule:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 23px; text-align: left; transform-origin: 445px 23px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; 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o2HSRz2S+wQaP5sZm70V2N7efhMzbs2+Cc5tyPdeMmY1vE3dYEKvdrMSlkBHfbvP7DeZR3FvJv062LMBWHnRdF95k2WlO3/jQWWfpZUO/l6TrqC9oQH4egtmHlMPXz6uQuHVjPnz5+tMSI++rX8ATqtShPHojEol7f9STuCGTrstIPp53Edx9WWzTbjfcCpia2E4bbibsE2kmUEHGQrIamk7BHcAdiLKeyT2nuBmvr2CdejIdlHc7KCCzyjFyyiI9upuIKFOujVDxGub/VlWPkf7Sr7DTD2jsM1Jq9mWXYGff+pI8H5/6Pot/F+E1bW5e5GJBhAVWUfYWdhV2Peoc6LkgY31se1tChsM2DyujJWyuerVzRRkoz1UN/fj65gh7wpPdN3xDdqtq2IvscIZmSw7RtxR8G0xcZtwdQUvGSUcjEnGg6jvcS8rUdI7W2GdzO7a0grcx0oqI/xf4IRnu/QbAbDzFuIe0CXA2sdJ5zWvk89xoUkzzlaeP7V69Wp7HzZJFkHBGiYW28Djn9CG2fD4QewrtO9CeNeHFwAAEABJREFUarFn8/h1CGl3YtJ5whfKTt0UiVNgyQbGaFm+W7Kg0vd/kwUF6IxCuWaiAGdQ5hzsAOxpzAiHiXmcSN9NvD7gsoY0I1mu2SM2aQqasITvVGpL13lw4QI80xkk7gaYvo3ds6urazTtuZSszudAh/H8Ozq3ZkgEuzMoYT2HD5Kx3WRmNfq+8zvkfifpx2vVCSCUVg9u7dKlS4dC00Zo/REyuDuZ7wi2eybj17Wp7+HqUEczsiH4HRDCK2OTJI8PW0peb9WhUx8jh2h/hz1U8Y7H3IbBZxAdfCj96ipSXI6V2Rc+HSYPOns87hXwazkuTmwsrm3Iq7OYw3l4jzqfwHVtKF+rWIsC72d2p7KVV0zSAbv8ri1lDaGdA9FhX3mHDBmiPppRHzqyhgB9j2UYbfskfibm+h+o1ctXJ1L+AtqgSeWh9KVj4MmJ6Lo+0CVeZw+ivvElEACGMG1MC8DEiTLs/6oa9xZQmo99A0Zq60AjlzK3MCPU21NScN2T1Je1hpFmLNbVARvKpXIia3VtDlD+KYqk2YKzPzcSZbrILVCOaxmnK0VPsfXyNrOAKzVjBcC19NIM+zX5FUbcjeiBruTc7bZsMY4VxUr29F6Vy/PD2LVYDYD7JoHmE9D7cWSyK1arEd0NJYljSpFCKXmd+l25NCGmn+jS4dhygHVDoVzwYj1tfUkgCBD8nbSaWSrvFPismx//iUyPJM2eWPHk+6SxDZMJDVxancxGvzXZsMNz/hO0JiMoVysZbenMBvz11qcdM2nSpK2oS6BuP3v417h27dpREJ2VN63S/IUpb58XHNBl8U26p0Hi4170LH9VGTF6UeQChKWJwEzcz1OnBn6LrZzlPGviQZMSGT8yDLb4xpdAABgBaeSsiv1fmCiF7oLt20P3ZbjbJa+5lK03UmdZDUqkfbsTabvdIXEPoO3NboioH1zfTXotK7X39t1Vq1b9Wl+LI69e5Jj5/vvvx1asWPErnnX3GMdaSsdI3/pQmCsLMDlLTCm5DqvOBwy+i4K7vy3gqqbyJkoHMXi5KPNbFoVpof0CXw12SvgJ/mkAugjg1WSCxwwTQ67HElJHvr8W5VuaxpPvOPI1Q9+Pka8NNDxb69at20yYbtXo0bUlz1pmsbpql5U3rdI8pSkvs+dNPdF9AHt+T7ill6E0OUg+luzYqy348HNKWsrglaF30FRPnFaBAv9/5JMh6QrjS1ZzSgZgOpuWGJqqQ7e1CgLUieSPpGUk0yu4mqmJkeOh92Jdc3FNbBYDC+WDN+czs0jks+TVlTHRcUW+NMlwXSkiuX+jDosC3ZgsQUthV28WSdHIewyz20nw6irKOJxZlj79qGX0OytXrryLcC2PzyKuGbA/y+8B05gxY3T46aw+dJh4vU6/kzQH6rBdMhnersTmlA+VPYSVbA5Zv379+7nTNSnv7UpXyJJ/K3iU2vcrlDY7Dn5q1jcrGa6DtQeQx3PJ5wyH1UgT9eia5CpcHRpnxOd7YE9yN9LrRYqfANr3padL1m/POtPDi/nRheUMqBo4/eZVu6kmE7Ap1xnch6KTw0kQiEG+WqFcRGG6avcrBiH78JJn29CWMfBI9enFFoGsHZ79ryi+ZDbHKhmAIUyjgrP/O5+lqgAum67IPG/cuFHg6wwSs1jipUZ7V0RmMdBVnogkQmGnQspbWM2Q+uyxEZ7PdLNNMJfOeSGdX3djdSfzfBTydOzFhO1LR70Jq5m2bw5NmzZNsy3netYy6J2Rj6D84R5GyPyFuIxxVxftiAMcWkG4LDczGfkFuHr7Sp3/aWJz8hhZ6ObBztT1KjNIZyAjeX7DNo9eDLmWFI8WWAn2fP+aRLZx0Wxo6WZlJDoz89oFFP6XlrdQwnqwR2cChdK4imOFsjU80w0RHULOpn69fZeRl3htsw4jsODrx17xpWQARjlEmL3/C5FzOHXVLAY6wzUudCAnARz6rIPBOklV/AcZsfQyhPyBWwDpSsApls9SoS1o+HZBvjTJcNezGcosZFZTl5aEuh+qbYVCaTPimM3XM2v8KK6WwLdSzr3IXpf3b6QTX87sa1fLsnyDTFplAg4tP0eyjN4lLdylV32+eFJm1jPg7XBsTvlQgq70aStkakNDg27F5ExH/lNJG6qBDwKxlVQyCJ7vjZs0vb1gypQpGlC1UpIMntDKJZkor6O9e+R4JQnaAN9v51oJqgbS6OCLZJZWBOOtPCymL2llJRCz+JtLX9M3mjPzEpHL5MqbK10YYWyzHAgmaAas4h9CpkvlcSwHm7qRc1LyueDrx7TZE74EAcBSCHv/F0XRAVce8STJD8jxWwlLjUNRKHvpDyk7cNruai+UtLVkdELudmkYA3S/g4KupPM/jyt5q6NroN3AXtmpicSWKch+DrxdTlrdxfXFKwB+ZCKR+C8yD8QKSDSjw1vdpr6+fg1887bSSjY52fl/yuMHsALAfZJgy2MC22MAjbHUoa3AZcjEeaGiJzLHf4Ev20e/IYrxpeHcXOBLnI21lPcyfnvARj55t66of2fSSW7dpLNXMqXkpaxCJqgP72uM0ctLwjCtMPpsL7Dltg/t0S0WDchPaaWWjzD6gCd8KQmA6Wy652dfTIYg7Ts5S3seo2dgTiNKcjlWo76W4lsBKnqzJXrEhkARnaGFto/GzmTrRdsFRWthebYViQS4mgVMp4yj6OydlKG3o/YBIDgljjkHfNsRfrT0gjyejAABWfyMTNrvfBJXyr4/9W8tf4ZVl8kI6HnIE9wTWcH/O+ywg76xoF/rEBVjPHxbIkbn/zaZxHv9+KgFIu7F/qRuLBDca5CL9FiHaDNYBrf2xvT1ideArwa6HZHX2XlmyzGHTsBHV7L0nQcVNi6ffCnLufOrT9Hat25KyavKsi11OAdvqxjYnBdHspO5fp44ceLWlKltNeVZykw8YwsV/RbvzyVSM/vVTDT04SEe+xo/+FISAEOslu/aghA1kd7/ldJB5MUoxB9h4jW4tkLBfGdGocvtx4uJpKtGU5BmtR+A+xqJ4rT9Wl11wl/UqHPSuXUP99NMlQ6l8y+eMGGC5K6rbRPffPPN7QDkDnh6AOUfif0mWy/JA5SixacSsF+oT0ruhDzOhj6tpDTb22XNmjUjlQi57IE9TH5AyHay//XOB7NjKvusGRNt0ixShAzabrvtXPU7gE63i44jk1YVf8bttmJWatXG4dlO8OQE3MGUfwzxFu4jhWQrPVi1apUO3PaA1yexr6+DMmXNsKp7yJAhPyQwpjSk1W/wdfP8YWQ8BjfDoBPbEyB6LdI+yJmBPcCXkpfychl7u5OIeclDW7z+zYYNG7T/ax+QwjvNgDVYOgU6A6C+Kqcw+wWVHXfccQT8udQZoBQhvuJ6xhdXikDBOQ3Ld51Ua9khwZdt/zcnMX0DY1IKGLUdUTFG/O/g7giI/BYQeQ8l0Xd9CbLsGQX7mAKAEzlEdGYqiqsaSzvPoTNuwl2Mq7f86tKI11Wx42mzllqXAph6pTMturCX/dIF5HlSYKyUzJ71WUBdSB+b9FviKZ3uMaxWFkpW0Gpmqy0HEulNt/0A8EvoABepw+LX9xx0H3gM4P8h2qOVy3X4dSWLLNVn0to0bv369fZ2QnYrkF09bR2lzozbSB7dWrkc3nfAZ70ar/bbqzb0VYdnAsV3u7q6BEr7U56+VKZDOrw5TR3ge25iS+IIePk9yhzS2Ni4Q7oFzPWa+Unoyp0Are5l2+Ma/eYBSpTejIWuE6ys5Qb9Ri9/6DBe94ivJq2dD9fqk1eBKRuzCuVNJcOTBDwH/J/WwEZwSQad2xCLWfZLJ7FYTC+/aHKhMmPIQ1uVGtjsyRqBswDsblYlN5P2X9tuu20DaUrCl5IAGAHtDVHaO8GxtORIMV0BlbQw5iAEq6XycpRZoHoK9JzugAiMf5Zn3Qcez0DyJM8X8Hx+odkD8ZE1KISWUQNw1Rlvps0PwIM96agTcG8g/FraeBqdWW9XlSQnytIhhQ6GliT9nviiGQSK/DT6sxQ6pfx6Y+sSwPtVFQSd+pCOXoXVIPLfhGlL4gZAPuNqEOFWNhBY0f17nXbpPu8oTu8lqwxKkZGuc+oFgLeZLGh/fhbp/4i87ANYeKXvOwuELXh+IXGaQDxD/N8ARK0MNCC+BKjme1W4955rzNqPdALKN8mbYQlfRNm6WrgAv+5623Sq3wDaehPsWeo/t2Vci7Y87DgAXBMxfRZ0LnR+ATll7Hf3yduSnnfngnntCpL/hg4dOgzveGyxgYYk7kxnZ+eqWDzuvLo+EvrvQifPwj4Gb87m+Tz4wTaE3WUOggd/J/x5wlcEgS++AVgKgyBS+78Q5iyx3LU85FTQpg5sKyxVzYaJR6OsqcvrLK90tUfK3UWc9q+/kh5PHk+m0omZZfyIduitPi39tFQ8Ch68QNjtuDOQzwfZGsj1LVbPpKuD0en2kpXfawGjR4/WNx00y90MfbqRcTIz39T9U+QggL+Jct8nfgv2kvR4wnuN3S96H6Pqg34t9bWPq3um2lPPIBXZbCRAkwItgSW/H8KHawizW5icGOgbH5pMINLYLcOHD7+OPcp6AEGzNK1CH6acnNs/DMSnUpb2fTWo4S1sAJgHk3WmEkrWgM6nCTiP+Gspcyo48Aj1342MbkAHD2AQdWaLJOs1peR1SmFA0IRPK+6Hxo4dG9h5U9fGriugX9fQxFt96+FCGDyTdh0MEOsTm0wA7Cn/u4R9D1lei6u94pLxxTcAZ+3/LqKDp8DNYVglXZS3A7sfdgD2YBRTwJQiSaMy4SdgB2MPhKnOGzapNGXwaKYjQZZ8mKD20MYf0JZmrNqsa1P6mNBHeb6NDuC6DlvVijR+2rRpm2WLJMsZrRN3aDobOxCad4L3qaWuk4G432C3UTw2kIHDKduNSwcUEEo2S9mftkHQTb5CaQCve4lXhz6M7RfNWHnsMfA8QTuvo82S2TBcga2AuCcB/+HTI4SPwg7Df434KJDEr9eSY+TXoEXKvoY0vyffQKz0oqjNV5bqo4w7sB+hzENI9xn8e+P+WjrYt+bekFLyaluGkr6M1Vtq1/nVPfL3MaKro739J21t7eKteDOWtl2oPjMNPadtZ9JGhe/OdtxUCkjwHAi++AZglu1aOmg00shrf5oNJYI2Y9xyACGei21BwFpmu80WerpA0CZ0KsOtgA74t6Rsvrx06VLtR5dcob7NQSGXYJuYQepgLdVlMnmeCiapMeIA2zJ6w+8oZqo/Axj7bkUpUQm2h/89/0soxl3WNPH6BmAUaG9qy9j/LRP5VJtlzKPhQJVwAFDXQdalkHs6y/f9cHMY05PSmcI2gA59dXPpjhEjRuhFoPToCPrTEDYXdWni9QXAU6ZM0WGPc+dvFdsPkdr/zdVmE2Y4kMGBIn0kI22QDzFLy9dr2OK4Gns7++haSQZZQ02VxT6z7v3eTKMeB3xTP2BaKfFBhwuThrBFUnqEZ+AAAAcwSURBVPsCYJYAugi+V7JsH/u/0WZfsl3GqWUOuO8jwXKBetH+brY4rqDgy5i83BV5EIZgaC27YYUwmpX2PVT8MCuHC7Xnjd82sNF2g/lXoQZCvC8AZv9Xr+/uQH7LsqxZ8z3/NEcv+yrX9CT1xqkqDtSCviS1XzPhO5gFH4vVEju6TUsSXG5Ficfj4wHg8wDf66k740CS5wLGKytDaKBLEmwAdpk21WCYojuAekVVB3DPEeG7Bb4zUqkx/Y8DtaYvnKov4hBW91BrrWklKyerhOc6Ozvtb1h7KywCrHRJgg3ALtPaPMja/y34brSdwfzL4oDX4S4ru3nsRxwwuhJ1YZdKnw3APYW4E3bW/q/9bnRPfvPfHQe8DHfuSqzOVO70rTrbFhTV7nXFcDMonpe3nDQAdifs0vd/vTawsGoVjvVal0mfmwNhcDlb38KoI3drajE0m5sVaaMRoTu2p/EpDYDd5Q1y/9ddjYVVq3CsuxpMqmIcKAeXw6gjTdOLNdHEl86BMERYiKpqjUvjkysAdtQ4a/93LaeUgb+RUq08NXRXkgOOhmbTkKbp2VFV8ZyvXVVBvCHSBQdcAbCjxh0dHfpUmz5WoaJbBwwYENgHMVRgWa3RbcuqGR44GmrV2J+fdtWMUIvKshZaGvfSCWOxmH6jS587FHMC+SCyCqqI9aPbFSE0xEoND0JkbqWKDlioeVGuUu3rrTfglvYWHLCvEAvj+X5dIA8N+xLu3P99Sl8K4rmIKVR9kaxeo8tYlVfSTPrq40D46hR+DSVz3QvKOc1x3JIrr40CbBbm4UncbRO1/5tIJPSjf8ri4fsPiVhLS8shzc3N/xw3btz9TU1NT+FOxU5QQYFau6WBlhhYYXn4H1j5pqDgORC+OoVfQy6uhKaLTnMcN1flvsNCo9o3RZ4y5uGJawBOv//LVsQ/Nm7c6OoNFYD2+C1btjwEsf+7cOHC40eMGHE4QP4G9llAOc/XoEhdYyYP/2uslaY5ZeJASdVUpy5WJ9XFBOUagAcNGqSvNun7v92A5//pI8bFCm9sbGwm7S9Jp1+nuAM3oQ9qxOPx6/HrNebL9Ntg8htrOFAbHKjymVptCKFqWuEagAHSg2mVvv+r35LST/nwWNgAtEeSQh/umdnW1qaf++DRsgYMGKBfz5jLTPrADRs26McE7XDzz3AgWhzwA6a1OVOLllxqh5p4jqbE2DY4g+2BJbjXau8Xvz4/+VnS6otEV7W2tqbAlLCcRvmIOAirme7ruCnNnDdv3vs86yeCBiWBnUdjDAdK5IAfvCxYZUplM1KZB8OBoDjQB4A5MNsbUPwFFYxh73YkrgD0OFxtQdw2fPhw/T4Xj4UN+71DSaEtC4uZ8BL82cYJ2yUJ1tnx5rkCHPCLYX7zWV7uQVpF/nzgpX+6i9BioquYA+XTini2/m/evFmguw3c0y/X3tXR0fFltgp+Dijf0dDQcK72cIkrashTT57tlRC3zw9CEqZfiRW4j1i2bFm90hlbeQ74wDCbaL/5LI/3IO3KAvznn+4AiTBFRYwD5dOKPveA6+rq9HPh+gr9QGaufwJIvwh3jm9vbz+t2K+eks6YCnGgfGN2hRroVGtcfxwwCuKPbyHnimeXz9bBuxyYnYIdgt2G5yNxnyGdp2GBGe4GwHs5+SxczajlTVnCBugBd8XIkSM3yO/FGn3K5JYn4WRmDffJCCpc/rotPaUgRiBuWeY/nXse9wFg/5Vm5uQATwdtnQplL9l5fVmPjnVexHjD3Rt1TrYeN6VPPY++/rtmk+uEvsio3UziWxCCql0OVaBltS4QKV0F2JpRZQEeZ5EXGgALVJkFPyW6mOVOkuvYiRMn6oCuiecu0jyLWxFTgE2Z9LhOmJnN81OWcDznDz2DxwrKxTePZJnktcyBiCtdFnmhAbBEDLg+iauXMCYnr7LxaFkc9OlHCHcl/mX2mV+0A8v8L5JYlyWcMrPEVGc4YDhQZg6ECsAdHR0C38tok7YbTsGNTZ48eSBbEmfj1yHfBewx27cheC6rqVWsi+TAUlbJVr4yI4Pyy6BaeR4qAEsMHODdCuAei/8k9oXvW7FixeNsSezS3d19IOCrX1QmyhgXHHCVpCwDS7VquysOlp6oLDIoncyaKqFaeR46ACPlBDPhxwDiPQHc49rb2z+Je0hnZ6erj/mQ35iocaBatT1qfDT0BM+BECcHYRQNAIdRbPB8jUKJUeCUTYP9Lwoc6b80GBFEVPYhTg7CKBoADqPYiAqnBLKUNQqcsmmw/4kiYyvFgUwRGDiulByqvV4AOCJNMDocEUEYMrxzIBOOveePfg7TPcORUeUAOFuita/D4UjQlFoRDmSrb0WIKGOl/rtnf+OUN6EUAOCQGedFot7aZFIbDoTOAaO+blkcMU6FDGtuueKkKwDAEWOcQ7Fxa5cDEescZWF0f2xzWRibp5KIwdr/AwAA//9evtckAAAABklEQVQDACd3J6tB+Eo5AAAAAElFTkSuQmCC\" width=\"176\" height=\"46\" style=\"width: 176px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ea is the upper limit of the integral and it will be given.   \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!! \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function I = Simpson(a)\r\n  \r\nend","test_suite":"%%\r\na = 100;\r\ny_correct = 2.6667e+07;\r\nassert(abs(Simpson(a)-y_correct)\u003c1e6)\r\n%%\r\na = 50;\r\ny_correct = 1.7708e+06;\r\nassert(abs(Simpson(a)-y_correct)\u003c1e6)\r\n%%\r\na = 4;\r\ny_correct = 170.7067;\r\nassert(abs(Simpson(a)-y_correct)\u003c1e6)\r\n%%\r\ncode = fileread(which('Simpson'));\r\nhas_if = ~isempty(regexp(code, '\\bif\\b', 'once'));\r\nassert(~has_if, 'Using \"if\" is not allowed!')","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-30T13:01:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-30T10:44:24.000Z","updated_at":"2026-08-31T15:05:03.000Z","published_at":"2026-08-30T10:44:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the following intergral using the SIMPLE \\\"Simpson 1/3\\\" rule:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e$$ \\\\int_{0}^{a} x^3 + 5*x^2 + (x/200)\\\\ dx $$\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFurther explanation:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea is the upper limit of the integral and it will be given.   \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!! \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61460,"title":"Calculate integrals using numerical methods 2.","description":"Calculate the following integral(I) using the SIMPLE(thus n =1) trapezoidal rule:\r\n\r\nThe llimits(a,b) of the integral will be given.\r\nGOOD LUCK!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 136px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 68px; transform-origin: 469px 68px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the following integral(I) using the SIMPLE(thus n =1) trapezoidal rule:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 23px; text-align: left; transform-origin: 445px 23px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"vertical-align:-19px\"\u003e\u003cimg 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\" width=\"84.5\" height=\"46\" style=\"width: 84.5px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe llimits(a,b) of the integral will be given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function I = TRAPEZOIDAL(a,b)\r\n  \r\nend","test_suite":"%%\r\na = 0;\r\nb = 6;\r\ny_correct = 18*exp(6);\r\nassert(abs(TRAPEZOIDAL(a,b)-y_correct)\u003c1e4)\r\n%%\r\na = 8;\r\nb = 19;\r\ny_correct = 5.5 *(8*exp(8) + 19*exp(19));\r\nassert(isequal(TRAPEZOIDAL(a,b),y_correct))\r\n%%\r\na = -100;\r\nb = -1;\r\ny_correct = 49.5*(-100*exp(-100) - exp(-1));\r\nassert(isequal(TRAPEZOIDAL(a,b),y_correct))\r\n%%\r\ncode = fileread(which('TRAPEZOIDAL'));\r\nhas_if = ~isempty(regexp(code, '\\bif\\b', 'once'));\r\nassert(~has_if, 'Using \"if\" is not allowed!')","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-30T13:02:06.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-30T11:47:44.000Z","updated_at":"2026-08-31T15:09:49.000Z","published_at":"2026-08-30T11:47:44.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the following integral(I) using the SIMPLE(thus n =1) trapezoidal rule:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e$$ \\\\int_{a}^{b} x*e^x \\\\ dx $$\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe llimits(a,b) of the integral will be given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!!!!!!!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"problems":[{"id":61459,"title":"Calculate integrals using numerical methods 1.","description":"Calculate the following intergral using the SIMPLE \"Simpson 1/3\" rule:\r\n\r\nFurther explanation:\r\na is the upper limit of the integral and it will be given.   \r\nGOOD LUCK!!!!!!!!!!! ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 166px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 83px; transform-origin: 469px 83px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the following intergral using the SIMPLE \"Simpson 1/3\" rule:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 23px; text-align: left; transform-origin: 445px 23px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"vertical-align:-19px\"\u003e\u003cimg 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o2HSRz2S+wQaP5sZm70V2N7efhMzbs2+Cc5tyPdeMmY1vE3dYEKvdrMSlkBHfbvP7DeZR3FvJv062LMBWHnRdF95k2WlO3/jQWWfpZUO/l6TrqC9oQH4egtmHlMPXz6uQuHVjPnz5+tMSI++rX8ATqtShPHojEol7f9STuCGTrstIPp53Edx9WWzTbjfcCpia2E4bbibsE2kmUEHGQrIamk7BHcAdiLKeyT2nuBmvr2CdejIdlHc7KCCzyjFyyiI9upuIKFOujVDxGub/VlWPkf7Sr7DTD2jsM1Jq9mWXYGff+pI8H5/6Pot/F+E1bW5e5GJBhAVWUfYWdhV2Peoc6LkgY31se1tChsM2DyujJWyuerVzRRkoz1UN/fj65gh7wpPdN3xDdqtq2IvscIZmSw7RtxR8G0xcZtwdQUvGSUcjEnGg6jvcS8rUdI7W2GdzO7a0grcx0oqI/xf4IRnu/QbAbDzFuIe0CXA2sdJ5zWvk89xoUkzzlaeP7V69Wp7HzZJFkHBGiYW28Djn9CG2fD4QewrtO9CeNeHFwAAEABJREFUarFn8/h1CGl3YtJ5whfKTt0UiVNgyQbGaFm+W7Kg0vd/kwUF6IxCuWaiAGdQ5hzsAOxpzAiHiXmcSN9NvD7gsoY0I1mu2SM2aQqasITvVGpL13lw4QI80xkk7gaYvo3ds6urazTtuZSszudAh/H8Ozq3ZkgEuzMoYT2HD5Kx3WRmNfq+8zvkfifpx2vVCSCUVg9u7dKlS4dC00Zo/REyuDuZ7wi2eybj17Wp7+HqUEczsiH4HRDCK2OTJI8PW0peb9WhUx8jh2h/hz1U8Y7H3IbBZxAdfCj96ipSXI6V2Rc+HSYPOns87hXwazkuTmwsrm3Iq7OYw3l4jzqfwHVtKF+rWIsC72d2p7KVV0zSAbv8ri1lDaGdA9FhX3mHDBmiPppRHzqyhgB9j2UYbfskfibm+h+o1ctXJ1L+AtqgSeWh9KVj4MmJ6Lo+0CVeZw+ivvElEACGMG1MC8DEiTLs/6oa9xZQmo99A0Zq60AjlzK3MCPU21NScN2T1Je1hpFmLNbVARvKpXIia3VtDlD+KYqk2YKzPzcSZbrILVCOaxmnK0VPsfXyNrOAKzVjBcC19NIM+zX5FUbcjeiBruTc7bZsMY4VxUr29F6Vy/PD2LVYDYD7JoHmE9D7cWSyK1arEd0NJYljSpFCKXmd+l25NCGmn+jS4dhygHVDoVzwYj1tfUkgCBD8nbSaWSrvFPismx//iUyPJM2eWPHk+6SxDZMJDVxancxGvzXZsMNz/hO0JiMoVysZbenMBvz11qcdM2nSpK2oS6BuP3v417h27dpREJ2VN63S/IUpb58XHNBl8U26p0Hi4170LH9VGTF6UeQChKWJwEzcz1OnBn6LrZzlPGviQZMSGT8yDLb4xpdAABgBaeSsiv1fmCiF7oLt20P3ZbjbJa+5lK03UmdZDUqkfbsTabvdIXEPoO3NboioH1zfTXotK7X39t1Vq1b9Wl+LI69e5Jj5/vvvx1asWPErnnX3GMdaSsdI3/pQmCsLMDlLTCm5DqvOBwy+i4K7vy3gqqbyJkoHMXi5KPNbFoVpof0CXw12SvgJ/mkAugjg1WSCxwwTQ67HElJHvr8W5VuaxpPvOPI1Q9+Pka8NNDxb69at20yYbtXo0bUlz1pmsbpql5U3rdI8pSkvs+dNPdF9AHt+T7ill6E0OUg+luzYqy348HNKWsrglaF30FRPnFaBAv9/5JMh6QrjS1ZzSgZgOpuWGJqqQ7e1CgLUieSPpGUk0yu4mqmJkeOh92Jdc3FNbBYDC+WDN+czs0jks+TVlTHRcUW+NMlwXSkiuX+jDosC3ZgsQUthV28WSdHIewyz20nw6irKOJxZlj79qGX0OytXrryLcC2PzyKuGbA/y+8B05gxY3T46aw+dJh4vU6/kzQH6rBdMhnersTmlA+VPYSVbA5Zv379+7nTNSnv7UpXyJJ/K3iU2vcrlDY7Dn5q1jcrGa6DtQeQx3PJ5wyH1UgT9eia5CpcHRpnxOd7YE9yN9LrRYqfANr3padL1m/POtPDi/nRheUMqBo4/eZVu6kmE7Ap1xnch6KTw0kQiEG+WqFcRGG6avcrBiH78JJn29CWMfBI9enFFoGsHZ79ryi+ZDbHKhmAIUyjgrP/O5+lqgAum67IPG/cuFHg6wwSs1jipUZ7V0RmMdBVnogkQmGnQspbWM2Q+uyxEZ7PdLNNMJfOeSGdX3djdSfzfBTydOzFhO1LR70Jq5m2bw5NmzZNsy3netYy6J2Rj6D84R5GyPyFuIxxVxftiAMcWkG4LDczGfkFuHr7Sp3/aWJz8hhZ6ObBztT1KjNIZyAjeX7DNo9eDLmWFI8WWAn2fP+aRLZx0Wxo6WZlJDoz89oFFP6XlrdQwnqwR2cChdK4imOFsjU80w0RHULOpn69fZeRl3htsw4jsODrx17xpWQARjlEmL3/C5FzOHXVLAY6wzUudCAnARz6rIPBOklV/AcZsfQyhPyBWwDpSsApls9SoS1o+HZBvjTJcNezGcosZFZTl5aEuh+qbYVCaTPimM3XM2v8KK6WwLdSzr3IXpf3b6QTX87sa1fLsnyDTFplAg4tP0eyjN4lLdylV32+eFJm1jPg7XBsTvlQgq70aStkakNDg27F5ExH/lNJG6qBDwKxlVQyCJ7vjZs0vb1gypQpGlC1UpIMntDKJZkor6O9e+R4JQnaAN9v51oJqgbS6OCLZJZWBOOtPCymL2llJRCz+JtLX9M3mjPzEpHL5MqbK10YYWyzHAgmaAas4h9CpkvlcSwHm7qRc1LyueDrx7TZE74EAcBSCHv/F0XRAVce8STJD8jxWwlLjUNRKHvpDyk7cNruai+UtLVkdELudmkYA3S/g4KupPM/jyt5q6NroN3AXtmpicSWKch+DrxdTlrdxfXFKwB+ZCKR+C8yD8QKSDSjw1vdpr6+fg1887bSSjY52fl/yuMHsALAfZJgy2MC22MAjbHUoa3AZcjEeaGiJzLHf4Ev20e/IYrxpeHcXOBLnI21lPcyfnvARj55t66of2fSSW7dpLNXMqXkpaxCJqgP72uM0ctLwjCtMPpsL7Dltg/t0S0WDchPaaWWjzD6gCd8KQmA6Wy652dfTIYg7Ts5S3seo2dgTiNKcjlWo76W4lsBKnqzJXrEhkARnaGFto/GzmTrRdsFRWthebYViQS4mgVMp4yj6OydlKG3o/YBIDgljjkHfNsRfrT0gjyejAABWfyMTNrvfBJXyr4/9W8tf4ZVl8kI6HnIE9wTWcH/O+ywg76xoF/rEBVjPHxbIkbn/zaZxHv9+KgFIu7F/qRuLBDca5CL9FiHaDNYBrf2xvT1ideArwa6HZHX2XlmyzGHTsBHV7L0nQcVNi6ffCnLufOrT9Hat25KyavKsi11OAdvqxjYnBdHspO5fp44ceLWlKltNeVZykw8YwsV/RbvzyVSM/vVTDT04SEe+xo/+FISAEOslu/aghA1kd7/ldJB5MUoxB9h4jW4tkLBfGdGocvtx4uJpKtGU5BmtR+A+xqJ4rT9Wl11wl/UqHPSuXUP99NMlQ6l8y+eMGGC5K6rbRPffPPN7QDkDnh6AOUfif0mWy/JA5SixacSsF+oT0ruhDzOhj6tpDTb22XNmjUjlQi57IE9TH5AyHay//XOB7NjKvusGRNt0ixShAzabrvtXPU7gE63i44jk1YVf8bttmJWatXG4dlO8OQE3MGUfwzxFu4jhWQrPVi1apUO3PaA1yexr6+DMmXNsKp7yJAhPyQwpjSk1W/wdfP8YWQ8BjfDoBPbEyB6LdI+yJmBPcCXkpfychl7u5OIeclDW7z+zYYNG7T/ax+QwjvNgDVYOgU6A6C+Kqcw+wWVHXfccQT8udQZoBQhvuJ6xhdXikDBOQ3Ld51Ua9khwZdt/zcnMX0DY1IKGLUdUTFG/O/g7giI/BYQeQ8l0Xd9CbLsGQX7mAKAEzlEdGYqiqsaSzvPoTNuwl2Mq7f86tKI11Wx42mzllqXAph6pTMturCX/dIF5HlSYKyUzJ71WUBdSB+b9FviKZ3uMaxWFkpW0Gpmqy0HEulNt/0A8EvoABepw+LX9xx0H3gM4P8h2qOVy3X4dSWLLNVn0to0bv369fZ2QnYrkF09bR2lzozbSB7dWrkc3nfAZ70ar/bbqzb0VYdnAsV3u7q6BEr7U56+VKZDOrw5TR3ge25iS+IIePk9yhzS2Ni4Q7oFzPWa+Unoyp0Are5l2+Ma/eYBSpTejIWuE6ys5Qb9Ri9/6DBe94ivJq2dD9fqk1eBKRuzCuVNJcOTBDwH/J/WwEZwSQad2xCLWfZLJ7FYTC+/aHKhMmPIQ1uVGtjsyRqBswDsblYlN5P2X9tuu20DaUrCl5IAGAHtDVHaO8GxtORIMV0BlbQw5iAEq6XycpRZoHoK9JzugAiMf5Zn3Qcez0DyJM8X8Hx+odkD8ZE1KISWUQNw1Rlvps0PwIM96agTcG8g/FraeBqdWW9XlSQnytIhhQ6GliT9nviiGQSK/DT6sxQ6pfx6Y+sSwPtVFQSd+pCOXoXVIPLfhGlL4gZAPuNqEOFWNhBY0f17nXbpPu8oTu8lqwxKkZGuc+oFgLeZLGh/fhbp/4i87ANYeKXvOwuELXh+IXGaQDxD/N8ARK0MNCC+BKjme1W4955rzNqPdALKN8mbYQlfRNm6WrgAv+5623Sq3wDaehPsWeo/t2Vci7Y87DgAXBMxfRZ0LnR+ATll7Hf3yduSnnfngnntCpL/hg4dOgzveGyxgYYk7kxnZ+eqWDzuvLo+EvrvQifPwj4Gb87m+Tz4wTaE3WUOggd/J/x5wlcEgS++AVgKgyBS+78Q5iyx3LU85FTQpg5sKyxVzYaJR6OsqcvrLK90tUfK3UWc9q+/kh5PHk+m0omZZfyIduitPi39tFQ8Ch68QNjtuDOQzwfZGsj1LVbPpKuD0en2kpXfawGjR4/WNx00y90MfbqRcTIz39T9U+QggL+Jct8nfgv2kvR4wnuN3S96H6Pqg34t9bWPq3um2lPPIBXZbCRAkwItgSW/H8KHawizW5icGOgbH5pMINLYLcOHD7+OPcp6AEGzNK1CH6acnNs/DMSnUpb2fTWo4S1sAJgHk3WmEkrWgM6nCTiP+Gspcyo48Aj1342MbkAHD2AQdWaLJOs1peR1SmFA0IRPK+6Hxo4dG9h5U9fGriugX9fQxFt96+FCGDyTdh0MEOsTm0wA7Cn/u4R9D1lei6u94pLxxTcAZ+3/LqKDp8DNYVglXZS3A7sfdgD2YBRTwJQiSaMy4SdgB2MPhKnOGzapNGXwaKYjQZZ8mKD20MYf0JZmrNqsa1P6mNBHeb6NDuC6DlvVijR+2rRpm2WLJMsZrRN3aDobOxCad4L3qaWuk4G432C3UTw2kIHDKduNSwcUEEo2S9mftkHQTb5CaQCve4lXhz6M7RfNWHnsMfA8QTuvo82S2TBcga2AuCcB/+HTI4SPwg7Df434KJDEr9eSY+TXoEXKvoY0vyffQKz0oqjNV5bqo4w7sB+hzENI9xn8e+P+WjrYt+bekFLyaluGkr6M1Vtq1/nVPfL3MaKro739J21t7eKteDOWtl2oPjMNPadtZ9JGhe/OdtxUCkjwHAi++AZglu1aOmg00shrf5oNJYI2Y9xyACGei21BwFpmu80WerpA0CZ0KsOtgA74t6Rsvrx06VLtR5dcob7NQSGXYJuYQepgLdVlMnmeCiapMeIA2zJ6w+8oZqo/Axj7bkUpUQm2h/89/0soxl3WNPH6BmAUaG9qy9j/LRP5VJtlzKPhQJVwAFDXQdalkHs6y/f9cHMY05PSmcI2gA59dXPpjhEjRuhFoPToCPrTEDYXdWni9QXAU6ZM0WGPc+dvFdsPkdr/zdVmE2Y4kMGBIn0kI22QDzFLy9dr2OK4Gns7++haSQZZQ02VxT6z7v3eTKMeB3xTP2BaKfFBhwuThrBFUnqEZ+AAAAcwSURBVPsCYJYAugi+V7JsH/u/0WZfsl3GqWUOuO8jwXKBetH+brY4rqDgy5i83BV5EIZgaC27YYUwmpX2PVT8MCuHC7Xnjd82sNF2g/lXoQZCvC8AZv9Xr+/uQH7LsqxZ8z3/NEcv+yrX9CT1xqkqDtSCviS1XzPhO5gFH4vVEju6TUsSXG5Ficfj4wHg8wDf66k740CS5wLGKytDaKBLEmwAdpk21WCYojuAekVVB3DPEeG7Bb4zUqkx/Y8DtaYvnKov4hBW91BrrWklKyerhOc6Ozvtb1h7KywCrHRJgg3ALtPaPMja/y34brSdwfzL4oDX4S4ru3nsRxwwuhJ1YZdKnw3APYW4E3bW/q/9bnRPfvPfHQe8DHfuSqzOVO70rTrbFhTV7nXFcDMonpe3nDQAdifs0vd/vTawsGoVjvVal0mfmwNhcDlb38KoI3drajE0m5sVaaMRoTu2p/EpDYDd5Q1y/9ddjYVVq3CsuxpMqmIcKAeXw6gjTdOLNdHEl86BMERYiKpqjUvjkysAdtQ4a/93LaeUgb+RUq08NXRXkgOOhmbTkKbp2VFV8ZyvXVVBvCHSBQdcAbCjxh0dHfpUmz5WoaJbBwwYENgHMVRgWa3RbcuqGR44GmrV2J+fdtWMUIvKshZaGvfSCWOxmH6jS587FHMC+SCyCqqI9aPbFSE0xEoND0JkbqWKDlioeVGuUu3rrTfglvYWHLCvEAvj+X5dIA8N+xLu3P99Sl8K4rmIKVR9kaxeo8tYlVfSTPrq40D46hR+DSVz3QvKOc1x3JIrr40CbBbm4UncbRO1/5tIJPSjf8ri4fsPiVhLS8shzc3N/xw3btz9TU1NT+FOxU5QQYFau6WBlhhYYXn4H1j5pqDgORC+OoVfQy6uhKaLTnMcN1flvsNCo9o3RZ4y5uGJawBOv//LVsQ/Nm7c6OoNFYD2+C1btjwEsf+7cOHC40eMGHE4QP4G9llAOc/XoEhdYyYP/2uslaY5ZeJASdVUpy5WJ9XFBOUagAcNGqSvNun7v92A5//pI8bFCm9sbGwm7S9Jp1+nuAM3oQ9qxOPx6/HrNebL9Ntg8htrOFAbHKjymVptCKFqWuEagAHSg2mVvv+r35LST/nwWNgAtEeSQh/umdnW1qaf++DRsgYMGKBfz5jLTPrADRs26McE7XDzz3AgWhzwA6a1OVOLllxqh5p4jqbE2DY4g+2BJbjXau8Xvz4/+VnS6otEV7W2tqbAlLCcRvmIOAirme7ruCnNnDdv3vs86yeCBiWBnUdjDAdK5IAfvCxYZUplM1KZB8OBoDjQB4A5MNsbUPwFFYxh73YkrgD0OFxtQdw2fPhw/T4Xj4UN+71DSaEtC4uZ8BL82cYJ2yUJ1tnx5rkCHPCLYX7zWV7uQVpF/nzgpX+6i9BioquYA+XTini2/m/evFmguw3c0y/X3tXR0fFltgp+Dijf0dDQcK72cIkrashTT57tlRC3zw9CEqZfiRW4j1i2bFm90hlbeQ74wDCbaL/5LI/3IO3KAvznn+4AiTBFRYwD5dOKPveA6+rq9HPh+gr9QGaufwJIvwh3jm9vbz+t2K+eks6YCnGgfGN2hRroVGtcfxwwCuKPbyHnimeXz9bBuxyYnYIdgt2G5yNxnyGdp2GBGe4GwHs5+SxczajlTVnCBugBd8XIkSM3yO/FGn3K5JYn4WRmDffJCCpc/rotPaUgRiBuWeY/nXse9wFg/5Vm5uQATwdtnQplL9l5fVmPjnVexHjD3Rt1TrYeN6VPPY++/rtmk+uEvsio3UziWxCCql0OVaBltS4QKV0F2JpRZQEeZ5EXGgALVJkFPyW6mOVOkuvYiRMn6oCuiecu0jyLWxFTgE2Z9LhOmJnN81OWcDznDz2DxwrKxTePZJnktcyBiCtdFnmhAbBEDLg+iauXMCYnr7LxaFkc9OlHCHcl/mX2mV+0A8v8L5JYlyWcMrPEVGc4YDhQZg6ECsAdHR0C38tok7YbTsGNTZ48eSBbEmfj1yHfBewx27cheC6rqVWsi+TAUlbJVr4yI4Pyy6BaeR4qAEsMHODdCuAei/8k9oXvW7FixeNsSezS3d19IOCrX1QmyhgXHHCVpCwDS7VquysOlp6oLDIoncyaKqFaeR46ACPlBDPhxwDiPQHc49rb2z+Je0hnZ6erj/mQ35iocaBatT1qfDT0BM+BECcHYRQNAIdRbPB8jUKJUeCUTYP9Lwoc6b80GBFEVPYhTg7CKBoADqPYiAqnBLKUNQqcsmmw/4kiYyvFgUwRGDiulByqvV4AOCJNMDocEUEYMrxzIBOOveePfg7TPcORUeUAOFuita/D4UjQlFoRDmSrb0WIKGOl/rtnf+OUN6EUAOCQGedFot7aZFIbDoTOAaO+blkcMU6FDGtuueKkKwDAEWOcQ7Fxa5cDEescZWF0f2xzWRibp5KIwdr/AwAA//9evtckAAAABklEQVQDACd3J6tB+Eo5AAAAAElFTkSuQmCC\" width=\"176\" height=\"46\" style=\"width: 176px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ea is the upper limit of the integral and it will be given.   \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!! \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function I = Simpson(a)\r\n  \r\nend","test_suite":"%%\r\na = 100;\r\ny_correct = 2.6667e+07;\r\nassert(abs(Simpson(a)-y_correct)\u003c1e6)\r\n%%\r\na = 50;\r\ny_correct = 1.7708e+06;\r\nassert(abs(Simpson(a)-y_correct)\u003c1e6)\r\n%%\r\na = 4;\r\ny_correct = 170.7067;\r\nassert(abs(Simpson(a)-y_correct)\u003c1e6)\r\n%%\r\ncode = fileread(which('Simpson'));\r\nhas_if = ~isempty(regexp(code, '\\bif\\b', 'once'));\r\nassert(~has_if, 'Using \"if\" is not allowed!')","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-30T13:01:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-30T10:44:24.000Z","updated_at":"2026-08-31T15:05:03.000Z","published_at":"2026-08-30T10:44:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the following intergral using the SIMPLE \\\"Simpson 1/3\\\" rule:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e$$ \\\\int_{0}^{a} x^3 + 5*x^2 + (x/200)\\\\ dx $$\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFurther explanation:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea is the upper limit of the integral and it will be given.   \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!! \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61460,"title":"Calculate integrals using numerical methods 2.","description":"Calculate the following integral(I) using the SIMPLE(thus n =1) trapezoidal rule:\r\n\r\nThe llimits(a,b) of the integral will be given.\r\nGOOD LUCK!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 136px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 68px; transform-origin: 469px 68px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the following integral(I) using the SIMPLE(thus n =1) trapezoidal rule:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 23px; text-align: left; transform-origin: 445px 23px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"vertical-align:-19px\"\u003e\u003cimg 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\" width=\"84.5\" height=\"46\" style=\"width: 84.5px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe llimits(a,b) of the integral will be given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function I = TRAPEZOIDAL(a,b)\r\n  \r\nend","test_suite":"%%\r\na = 0;\r\nb = 6;\r\ny_correct = 18*exp(6);\r\nassert(abs(TRAPEZOIDAL(a,b)-y_correct)\u003c1e4)\r\n%%\r\na = 8;\r\nb = 19;\r\ny_correct = 5.5 *(8*exp(8) + 19*exp(19));\r\nassert(isequal(TRAPEZOIDAL(a,b),y_correct))\r\n%%\r\na = -100;\r\nb = -1;\r\ny_correct = 49.5*(-100*exp(-100) - exp(-1));\r\nassert(isequal(TRAPEZOIDAL(a,b),y_correct))\r\n%%\r\ncode = fileread(which('TRAPEZOIDAL'));\r\nhas_if = ~isempty(regexp(code, '\\bif\\b', 'once'));\r\nassert(~has_if, 'Using \"if\" is not allowed!')","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-30T13:02:06.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-30T11:47:44.000Z","updated_at":"2026-08-31T15:09:49.000Z","published_at":"2026-08-30T11:47:44.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the following integral(I) using the SIMPLE(thus n =1) trapezoidal rule:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e$$ \\\\int_{a}^{b} x*e^x \\\\ dx $$\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe llimits(a,b) of the integral will be given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!!!!!!!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"errors":[],"facets":[[],[{"value":"medium","count":2,"selected":false}]],"term":"tag:\"numerical analysis\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}