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

`int_(0)^((pi)/2)( dx)/((a^2cos^2x+b^2sin^2x)^2)=(pi)/(4).(a^(2)+b^(2))/(a^(3)b^(3))`

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Evaluate: int_0^pi x/(a^2cos^2x+b^2sin^2x)dx