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" 4."int(0)^((pi)/(4))sin2xdx...

" 4."int_(0)^((pi)/(4))sin2xdx

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int_(0)^((pi)/(2))sin^(2)xdx

Evaluate the definite integrals int_(0)^((pi)/(4))sin2xdx

Evaluate int_(0)^((pi)/(4))sin^(2)2xdx

int_(0)^((pi)/(4))cos^(2)xdx

int_(0)^((pi)/(4))tan^(2)xdx

int_(0)^((pi)/(4))logtan2xdx

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int_(0)^((pi)/(4))log sin2xdx equals to

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)