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Evaluate : int(0)^(pi//2) sin^(3) x cos ...

Evaluate : `int_(0)^(pi//2) sin^(3) x cos x dx`

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To evaluate the integral \( I = \int_{0}^{\frac{\pi}{2}} \sin^3 x \cos x \, dx \), we can use a substitution method. Here are the steps: ### Step 1: Set up the integral We start with the integral: \[ I = \int_{0}^{\frac{\pi}{2}} \sin^3 x \cos x \, dx \] ...
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