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14.int(0)^((pi)/(2))cos xdx...

14.int_(0)^((pi)/(2))cos xdx

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int_(0)^((pi)/(2))x cos xdx

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

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int_(0)^((pi)/(2))cos^(5)xdx=(8)/(15)