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Prove that: int(0)^(pi//2) (sinx)/(sinx ...

Prove that: `int_(0)^(pi//2) (sinx)/(sinx +cos x)d dx =(pi)/(4)`

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To prove that \[ \int_{0}^{\frac{\pi}{2}} \frac{\sin x}{\sin x + \cos x} \, dx = \frac{\pi}{4}, \] we will follow these steps: ...
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