Evaluate `int((cosx)/(x)-logx^(sinx))dx`.

Explanation

To evaluate the integral \( I = \int \left( \frac{\cos x}{x} - \log(x^{\sin x}) \right) dx \), we can break it down into two separate integrals:

1. \( I_1 = \int \frac{\cos x}{x} \, dx \)
2. \( I_2 = \int \log(x^{\sin x}) \, dx \)

### Step 1: Rewrite the Integral
We start by rewriting the integral:
\[
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