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How to use 'trapz' command to calculate the area under the curve for each time gap of a graph?

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Nadeera Gunartna
Nadeera Gunartna 2016-6-22
编辑： Torsten 2016-6-22
T Y
1.00 2988.00
1.00 2966.00
1.00 2915.00
1.00 2891.00
1.00 2833.00
1.02 2846.00
1.19 2829.00
1.39 2799.00
1.66 2806.00
1.80 2804.00
2.00 2834.00
2.19 2827.00
2.39 2897.00
2.66 2889.00
2.80 2864.00
3.02 2874.00
3.19 2890.00
3.39 2874.00
3.64 2964.00
3.80 3059.00
4.02 3109.00
4.19 3214.00
4.39 3292.00
4.66 3334.00
4.80 3443.00
5.00 3515.00
5.19 3614.00
5.39 3736.00
5.66 3789.00
5.80 3811.00
6.00 3892.00
6.20 3954.00
6.41 3985.00
6.66 4039.00
6.80 4039.00
7.00 4045.00
7.19 4040.00
7.39 3977.00
7.66 3918.00
7.80 3961.00
8.02 3955.00
8.19 3923.00
8.39 3988.00
8.66 4064.00
8.80 4001.00
9.00 3991.00
9.19 4043.00
9.39 4021.00
9.66 3970.00
9.80 3967.00
10.00 3932.00
10.19 3856.00
10.39 3794.00
10.66 3782.00
10.80 3726.00
11.00 3688.00
11.19 3642.00
11.39 3584.00
11.66 3512.00
11.80 3398.00
12.02 3322.00
12.19 3222.00
12.39 3145.00
12.66 3098.00
12.80 3144.00
13.02 3134.00
13.19 3137.00
13.41 3175.00
13.64 3152.00
13.80 3095.00
14.02 3062.00
14.19 3046.00
14.39 3010.00
I have a data set like above, I used 'trapz' command to calculate the area under the curve. Using that, we can calculate the total area. my question is can anybody help me to do the area under the curve calculation related to each time gap? if we can't use trapz command can we use the 'int' command?
Thanks in advance

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回答（1 个）

Torsten
Torsten 2016-6-22
编辑：Torsten 2016-6-22
for k=1:length(T)-1
area(k)=0.5*(Y(k)+Y(k+1))*(T(k+1)-T(k));
end
area(k) gives you the area under the graph between T(k) and T(k+1).
Best wishes
Torsten.

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