Math Help - Iterated Integrals

1. Iterated Integrals

Compute the volume of $E$, given by:

$E$ lies under the plane $z = x + y$ and over the region in the $xy$ plane bounded by the curves $x = \sqrt{y/2}, x=2\sqrt y, x+ y = 3$.

So after a lot of messy calculations, I get 539/240, but somehow the answer given is 91/30. I've looked through my calculations about 5 times and can't find the mistake, would appreciate it if anyone could double-check my answer. Thanks!

2. Originally Posted by h2osprey
Compute the volume of $E$, given by:

$E$ lies under the plane $z = x + y$ and over the region in the $xy$ plane bounded by the curves $x = \sqrt{y/2}, x=2\sqrt y, x+ y = 3$.

So after a lot of messy calculations, I get 539/240, but somehow the answer given is 91/30. I've looked through my calculations about 5 times and can't find the mistake, would appreciate it if anyone could double-check my answer. Thanks!
How can we check your answer which you did not write it ?
not just the final answer !

3. Nvm, got it.