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Example 1: If ∫ xy²ds c is the right half of the circle x² + y² = 9.

C

Answer:

x = 3cost y = 3sint

Let p = sint If t = ^{-π}⁄_{2} to ^{π}⁄_{2} then p = -1 to 1

dp= cost .dt

= 21(2) = 42