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

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

Answer 1

[Steven Lord]

Use the integral2 function instead of calling integral twice.

[Marco Ballerini]

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