`int (sec^(2) x)/(" cosec "^(2)x) dx`

Explanation

To solve the integral \(\int \frac{\sec^2 x}{\csc^2 x} \, dx\), we can follow these steps:

### Step 1: Rewrite the integral
We know that:
\[ \sec^2 x = \frac{1}{\cos^2 x} \quad \text{and} \quad \csc^2 x = \frac{1}{\sin^2 x} \]
Thus, we can rewrite the integral as:
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