# Primitive of Exponential Function/Real

## Theorem

$\ds \int e^x \rd x = e^x + C$

where $C$ is an arbitrary constant.

## Proof for Real Numbers

Let $x \in \R$ be a real variable.

 $\ds \map {D_x} {e^x}$ $=$ $\ds e^x$ Derivative of Exponential Function

The result follows by the definition of the primitive.

$\blacksquare$