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

Explanation

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

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int \frac{1}{\sin^2 x \cos^2 x} \, dx \]
Using the identity \( \sin^2 x + \cos^2 x = 1 \), we can express \( 1 \) in a different form:
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