1. Evaluate the double integral ∫∫arctan(y/x) dA by converting to polar coordinates over the Region R= { (x,y) | 1≤x^2+y^2≤4 , 0≤y≤x }
My attempt at solving
Converting to polar using x=rcosθ and y=rsinθ I get
∫∫arctan(tan(θ))r drdθ
I understand that I have to integrate first with respect...