(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Double integrals that involve integration by parts

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