Question

evaluate the integral by changing the order of integration in an appropriate way. see attachment.

Answer 1

this is what I got so far...there's so many combinations out there.

Answer 2

@agent0smith

Answer 3

oh hey sith...

Answer 4

anyway...I know I can't just integrate in terms of y...well... if it's just
I can't do anything about it because u = y^2...du = 2y dy but there is no y dy so u-subsitution is out.

Answer 5

What's the original question?

Answer 6

Just the triple integral at the top?

Answer 7

yeah

Answer 8

I have to change the order...well only if I really can't integrate in terms of y. And it looks like I can't from here...

Answer 9

\[12\int_0^1\int_0^1\int_{x^2}^1xze^{zy^2}~dy~dx~dz\]
And this region looks something like this: