MathCastle
Multivariable CalculusEasyDouble Integrals

Double Integrals · Easy problem

Let DD be the upper half of the unit disk: x2+y2≤1x^2 + y^2 \le 1, y≥0y \ge 0. Evaluate ∬D(x2+y2) dA\displaystyle\iint_D (x^2 + y^2)\,dA by changing to polar coordinates. Give an exact answer in terms of π\pi.