int(0)^( pi)(xdx)/(1+sin^(2)x)=(pi^(2))/...

int_(0)^( pi)(xdx)/(1+sin^(2)x)=(pi^(2))/(2sqrt(2))

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int_(0)^( pi)(xdx)/(1+cos^(2)x)=(pi^(2))/(2sqrt(2))

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