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int0^(pi/2) 1/(a^2 sin^2 x + b^2 cos^2 x...

`int_0^(pi/2) 1/(a^2 sin^2 x + b^2 cos^2 x)^2 dx`

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Evaluate the following integral: int_0^(pi//2)1/(a^2sin^2x+b^2cos^2x)dx

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