Integrating a function over an array of coordinate

Question

Jacob Williams 2017-12-2

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回答： Prajwal Gowdru Shanthamurthy 2021-4-20

Hi I'm looking to evaluate an integral w.r.t T over a 3D mesh grid array of coordinates and I'm not quite sure how to do it.

Currently I have this but it doesn't work and I'm not sure why:

 % Function to evaluate theta w.r.t T over a 3D meshgrid
[X, Y, Z] = meshgrid(0:1:10, 0:1:10, 0:1:10);
fun = @(T) (T.*((x.^2)+(y.^2)+(z.^2)));
fun2 = @(x,y,z) integral(fun,0,inf);
theta = arrayfun(fun2, X, Y, Z);

Any help would be greatly appreciated Thanks!

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Answer 1

John D'Errico 2017-12-2

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在 MATLAB Online 中打开

You CANNOT use integral on a function defined on a list or array of points. Just wanting code to do what it is not programmed to do is a waste of time.

Instead, use a tool that is designed to solve your problem.

help trapz

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Jacob Williams 2017-12-2

That doesn't answer my question, I am looking to integrate over a 3D grid of coordinates, I understand that I can't currently do that and that is not what the code is programmed for, hence why I am looking for a different solution.

trapz is not that solution as it is only 2D and in future you could be less condescending in your answer

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