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int(0)^(pi/4)(sin x+cos x)/(9+16 sin 2x)...

`int_(0)^(pi/4)(sin x+cos x)/(9+16 sin 2x)dx`

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To solve the integral \[ I = \int_{0}^{\frac{\pi}{4}} \frac{\sin x + \cos x}{9 + 16 \sin 2x} \, dx, \] we will follow these steps: ...
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