MathCastle
Multivariable CalculusMediumDouble Integrals

Double Integrals · Medium problem

Let DD be the disk x2+y2≤4yx^2 + y^2 \le 4y. Evaluate ∬Dy dA\displaystyle\iint_D y\,dA using polar coordinates. Give an exact answer in terms of π\pi.