The whole integral is a double integral, but I can't even perform the first integration.
The integrand is cosx*sqrt(3+(cosx)^2) dxdy
The x bounds are from arctan(y) to pi/4
the y bounds are from 0 to 1
Converting rectangular to polar may help.
The Attempt at a Solution
I've tried parts, but it was a disaster. I also started converting it to polar, but that was also a disaster.