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

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

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To evaluate the integral \[ I = \int_{0}^{\pi} \frac{x}{a^2 \cos^2 x + b^2 \sin^2 x} \, dx, \] we can use a symmetry property of definite integrals. ...
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