Evaluate : `int(1)/(x^(2)"cos"^(2)((1)/(x)))dx`

Explanation

To evaluate the integral \( \int \frac{1}{x^2 \cos^2\left(\frac{1}{x}\right)} \, dx \), we can follow these steps:

### Step 1: Rewrite the Integral
We start with the integral:
\[ \int \frac{1}{x^2 \cos^2\left(\frac{1}{x}\right)} \, dx \]
We can rewrite this as:
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