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" (i) "int(0)^((pi)/(4))sin^(2)xdx...

" (i) "int_(0)^((pi)/(4))sin^(2)xdx

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

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

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)

int_(0)^((pi)/(2))sin^5 xdx= .

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

Find the values of: int_(0)^((pi)/(2))sin^(4)xdx and