Find the integral`int(sec^2x)/(cose c^2x)dx`

Explanation

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

### Step 1: Rewrite the integrand
We start with the integral:
\[ \int \frac{\sec^2 x}{\csc^2 x} \, dx \]
Recall that \(\sec x = \frac{1}{\cos x}\) and \(\csc x = \frac{1}{\sin x}\). Therefore, we can rewrite \(\sec^2 x\) and \(\csc^2 x\) as:
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