Integrals Involving Exponential and Logarithmic Functions

Integral of the Exponential function

Since

${\frac {d}{dx}}e^{x}=e^{x}$

we see that $e^{x}$ is its own antiderivative. This allows us to find the integral of an exponential function:

$\int e^{x}dx=e^{x}+C$

Resources

Integrating Exponential Functions By Substitution - Antiderivatives - Calculus by The Organic Chemistry Tutor