# Iterated Integrals

• Jan 15th 2010, 03:36 PM
h2osprey
Iterated Integrals
Compute the volume of $\displaystyle E$, given by:

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

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!
• Jan 15th 2010, 03:38 PM
General
Quote:

Originally Posted by h2osprey
Compute the volume of $\displaystyle E$, given by:

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

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 ?