In this section, you will learn two rules for integrating exponential functions, and how to apply them. Before attempting this section, you should know how to integrate basic functions. You should also be able to find integrals of integrals not involving \(e\) using u-substitution.
Integrating exponential functions by u-substitution
\(\displaystyle \int \dfrac{e^x + 1}{e^x}\,dx\)
\(x - e^{-x} + C\)
\(\displaystyle \int 3^{\sin \theta}\cos \theta\,d\theta\)
\(\dfrac{3^{\sin \theta}}{\ln 3} + C\)