1. The problem statement, all variables and given/known data Evaluate the double integral. 2. Relevant equations integral by part: uv - integral of v*du 3. The attempt at a solution I wrote out my works. And I am just stuck at the x integration.... Please click on the links to see the pictures. I don't want to resize it which may reduce the quality. http://i786.photobucket.com/albums/yy145/gokoproject/100702_150423.jpg http://i786.photobucket.com/albums/yy145/gokoproject/100702_150440.jpg I tried to break the last integration into three parts, which each had x^2 at the bottom. But then the integration by parts seem impossible... The answer to the question is 19/2 - 1/2e^6 I am sure the first part with respect to y is correct (I verified that with wolframalpha). Any help would be appreciate. Thank you * I believe doing dx first is easier, if I am correct. But I already started, so I just want to see how can i crack down with dy first. There can be ugly expression during exam too.