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∫x cos^(-1)x...

∫x cos^(-1)x`

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To solve the integral \( \int x \cos^{-1}(x) \, dx \), we will use integration by parts. ### Step-by-step Solution: 1. **Choose \( u \) and \( dv \)**: Let: \[ u = \cos^{-1}(x) \quad \text{and} \quad dv = x \, dx ...
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