# Primitive of Exponential of a x/Real

$\ds \int e^{a x} \rd x = \frac {e^{a x} } a + C$
Let $x \in \R$ be a real variable.
 $\ds \int e^x \rd x$ $=$ $\ds e^x + C$ Primitive of $e^x$ $\ds \leadsto \ \$ $\ds \int e^{a x} \rd x$ $=$ $\ds \frac 1 a \paren {e^{a x} } + C$ Primitive of Function of Constant Multiple $\ds$ $=$ $\ds \frac {e^{a x} } a + C$ simplifying
$\blacksquare$