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Prove that: int(0)^(pi//2) (1)/(1+tan^(3...

Prove that: `int_(0)^(pi//2) (1)/(1+tan^(3)x)=(pi)/(4)`

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To prove that \[ \int_{0}^{\frac{\pi}{2}} \frac{1}{1 + \tan^3 x} \, dx = \frac{\pi}{4}, \] let's follow the steps outlined in the video solution. ...
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