Question

Evaluate the integral: \[ \int \frac{1}{\sin^2 2x \cdot \cos^2 2x} \, dx \]

• A. \( \frac{1}{2} \tan 2x \)
• B. \( \frac{1}{2} \cot 2x \)
• C. \( \frac{1}{4} \cot 2x \)
• D. \( \frac{1}{4} \tan 2x \)

Hint:

When encountering integrals involving \( \cot^2 x \), rewrite them in terms of \( \csc^2 x \) to make them easier to solve.