Evaluate double integral by changing to polar coordinates

[GreenLantern]

what'd I do wrong?
I was told I didn't include the bound y<=x but that still hasn't helped me figure out where I miss stepped

thanks
-Ben

 

[Dick]

Ok, why did you ignore the advice that you didn't include the bound y<=x? You didn't, so you angular limits are wrong. For another thing, arctan(tan(t)) is not necessarily t. tan(5*pi/4)=1. arctan(1)=pi/4. You'll have to split along quadrants as well.

 

[GreenLantern]

I didn't ignore the advice, it just wasn't enough for me to go on to find and correct my error.
I understand now. Thank you for your help.
-GL