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int(-pi)^((pi)/(2))sin^(2)xdx=......

int_(-pi)^((pi)/(2))sin^(2)xdx=...

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Examples: int_(-(pi)/(2))^((pi)/(2))sin^(2)xdx

Show that int_(0)^((pi)/(2))sin^(2)xdx=int_(0)^((pi)/(2))cos^(2)xdx=pi/4 .

Prove that int_(0)^((pi)/(2))sin^(2)xdx=int_(0)^((pi)/(2))cos^(2)xdx=(pi)/(4)