Indefinite Integral – A sum of exponential functions to the power of 2 – Exercise 1401

Exercise

Evaluate the integral

$$\int {(e^x+e^{-x})}^2 dx$$

$$\int {(e^x+e^{-x})}^2 dx=\frac{1}{2}e^{2x}+2x-\frac{1}{2}e^{-2x} +c$$