Question

\[ \int \frac{2dx}{(e^x + e^{-x})^2} = ? \]

• A. \( -e^{-x} \)
• B. \( e^x \)
• C. \( e^x + C \)
• D. None of these

Hint:

For integrals of the form \( \frac{dx}{(e^x + e^{-x})^2} \), simplify using trigonometric identities or substitution.

Answer 1

The Correct Option is A

This is a standard integral. Using substitution and simplification, we get the solution as \( -e^{-x} \).