Double integral, inner function has variable limit (very particular case)

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Marco Ballerini
Marco Ballerini 2016-8-21
评论： Marco Ballerini 2016-8-22
I need to calculate a double integral where the inner function depends on both x and y (I integrate it on y and one of the limit depends on x), then I integrate the remaining on x. This is an example of code:
f1=@(x,y) x.^2+y; %inner function to be integrated on y
f2=@(x) sqrt(x).*integral(@(y)f1(x,y),x,3); %second function, to be integrated on x
V = integral(@(x)f2(x),0,2) %final calculation
PS: I don't want to use symbolic functions
PPS: I know that this case could be solved by simple calculation on papar, but it's only a trivial case, what I need to do is way more complex
Thanks

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回答（1 个）

Steven Lord
Steven Lord 2016-8-22
Use the integral2 function instead of calling integral twice.
  1 个评论
Marco Ballerini
Marco Ballerini 2016-8-22
I know that integral2 exists, however I don't know how to use it... my inner function is "smaller" than the outer, with integral2 I integrate the whole expression on two variables and I need something quite different (see how my f2 is defined).
If instead using integral2 is possible, I will be glad if you write me how to correct my code.
Thank you

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