LECTURE 24: DOUBLE INTEGRALS IN POLAR COORDINATES
4 LECTURE 24: DOUBLE INTEGRALS IN POLAR COORDINATES Z Z D p x2 + y2 3 dxdy = Z 2π 0 Z 2 0 r3 rdrdθ Z 2π 0 Z 2 0 r4drdθ Z 2 0 r4dr 2π 0 1dθ =(2π) r5 5 2 0 =(2π) 25 5 = 64π 5 Note: If you’re curious why there is an rin rdrdθ, check out the op- ................
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