Evaluate the following integrals : `intcos^(-1)(cosx)dx`

Explanation

To evaluate the integral \( \int \cos^{-1}(\cos x) \, dx \), we can follow these steps:

### Step 1: Simplify the Integral
Using the property of the inverse trigonometric function, we know that:
\[ \cos^{-1}(\cos x) = x \quad \text{for } x \in [0, \pi] \]
Thus, we can rewrite the integral as:
...