Evaluate following integrals,
`(i) intlogxdx`
`(ii) inte^(x)cosxdx`

Explanation

Let's evaluate the given integrals step by step.

### (i) Evaluate the integral \( \int \log x \, dx \)

1. **Identify the functions**: We will use integration by parts, where we let:
- \( u = \log x \) (first function)
- \( dv = dx \) (second function)

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