# Improper Integral – A sum of exponential functions with 2 infinite integration limits – Exercise 1566

Exercise

Evaluate the integral

$$\int_{-\infty}^{\infty} \frac{1}{e^x+e^{-x}} dx$$

$$\int_{-\infty}^{\infty} \frac{1}{e^x+e^{-x}} dx=\frac{\pi}{2}$$