how to define a double integral with symbolic upper limits

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Yufei Cao 2018-10-5

评论： Yufei Cao 2018-10-5

I want to define a double integral, like this

f(h) = \int_0^h (\int_0^1 xy dx) dy,

where h is a variable.

I try to use command twice: int(int(~,~,~),~,~), but it does not work.

Walter Roberson 2018-10-5

syms x y h
f(h) = int( int(x*y, x, 0, 1), y, 0, h)

Walter Roberson 2018-10-5

编辑：Walter Roberson 2018-10-5

matlabFunction(int(int((x.^2 + y.^2)^(1/3), x, 0, 1),0, h),h)

f(h) = vpaintegral( vpaintegral(x*y, x, 0, 1), y, 0, h)

Yufei Cao 2018-10-5

Dear Walter,

Thanks a lot.

I found the first way does not work, see the pic.

But the second one works very well. Thank you very much.

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