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Evaluate : int(0)^(pi//2)(cosx)/((3cosx+...

Evaluate : `int_(0)^(pi//2)(cosx)/((3cosx+sinx))dx`.

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To evaluate the integral \[ I = \int_{0}^{\frac{\pi}{2}} \frac{\cos x}{3 \cos x + \sin x} \, dx, \] we can use a method involving substitution and integration by parts. Here’s a step-by-step solution: ...
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