Hello,

I would really appreciate if someone could check my methodology.Thanks.

∫∫_{s}xye^{x^}^{2+y^2}_{dxdy describe the region in terms of the polar coordinates r and theta. its is the region defined by x2+y2 less than or equal to 1 }x≥0y≥0.

any suggestions ? I did the integral for r first ,where its boundary is from o to 1

theta varies from zero to pi/2

I made a u substituion where u=r^2 clearly du would be ...

dxdxy=rdrdθ

I took x =rcosθ

y=rsinθ