[tex]\int\int e^(^x^2^+^y^2^) dA[/tex] where D is the region bounded by y = sqrt(1-x^2) and y = |x|.
The Attempt at a Solution
Obviously I can draw this region out and see what it looks like, and I will have to split the integral into two for negative and positive x, however, I set up my ranges:
x <= y <= sqrt (1-x^2) and 0 <= x <= 1/sqrt(2) for the first quadrant, and I still do not know how to integrate the function e^(x^2+y^2) in a 'nice' way. I even tried reversing the variables, but it didn't make a difference since the function is symmetric in x and y.