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int(0)^((pi)/(4))x cos xdx...

int_(0)^((pi)/(4))x 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 .