Question

evaluate the double integral

Answer 1

\[\int\limits \int\limits xy ^{2}\]

Answer 2

D is enclosed by x=0 and x=(1-y^2)^(1/2)

Answer 3

might be a better view of D

Answer 4

this would make our limits of integration as:\[\int_{-1}^{1}\int_{0}^{\sqrt{1-y^2}}xy^2\ dxdy\]
right?