Simultaneous equations -- with the variable upper limit of integration

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Chun Il
Chun Il 2012-2-23
I have the following two-equation system with two unknowns (a and b):
equation 1
\[ \frac{40000-1.1a^{0.91}40000^{0.091}}{200} - b = 0 \]
equation 2
\[ 640\pi \int_{0}^{b} t \left (\frac{40000-200t}{1.1a} \right)^{10} dt - 4000000 = 0 \]
In the second equation, b is the upper limit of integration that I have to solve for simultaneously. Someone advised me that I start with the 2nd equation to conduct 12-degree polynomial approximation. I wonder how to solve this problem with MATLAB. Thanks.

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