In dealing with double integrals over a general region I wanted to see if I'm on track with this problem. Please see attached page.

Question

anonymous · Answer

attachment

tkhunny · Answer

You are SO CLOSE!  Just missed one thing.$$\int\limits{y^{2}e^{y}}\;dy = e^{y}\cdot\left(y^{2} - 2y + 2\right) + C$$  You managed "-2" on the end of that.

Excellent work.  A little more careful with your algebra.

anonymous · Answer

Wow!! lol...the algebra and little silly mistakes like that always mess me up!!! Thank you so much!!!