Double Integrals (polar coordinate)

[naspek]

Hey there.. i try to solve the question below..
but.. i still didn't get the answer given by my lecturer..
the answer should be.. pi/4(e - 1)

where did i do wrong?
http://imageshack.us/photo/my-images/215/06072011697.jpg/
http://imageshack.us/photo/my-images/17/06072011699.jpg/
http://imageshack.us/photo/my-images/17/06072011699.jpg/"
http://imageshack.us/photo/my-images/215/06072011697.jpg/"

 

[SammyS]

θ goes from 0 to π/2 to cover the first quadrant.