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int(0)^( pi)(xdx)/(a^(2cos^(2)(x))+b^(2)...

int_(0)^( pi)(xdx)/(a^(2cos^(2)(x))+b^(2)sin^(2)(x))

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Evaluate int_(0)^( pi)(xdx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)

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int_(0)^(pi)(xdx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)=

int_(0)^(pi)(xdx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)=(pi^(2))/(2ab)