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Evaluate the following : int(0)^(pi//...

Evaluate the following :
`int_(0)^(pi//2)x sin x dx`

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To evaluate the integral \( \int_{0}^{\frac{\pi}{2}} x \sin x \, dx \), we will use the method of integration by parts. ### Step-by-step Solution: 1. **Identify \( u \) and \( dv \)**: We choose: \[ u = x \quad \text{and} \quad dv = \sin x \, dx ...
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