Primitive of Exponential of a x

Theorem

 * $\displaystyle \int e^{a x} \ \mathrm d x = \frac {e^{a x} } a + C$

Proof for Real Numbers
Let $x \in \R$ be a real number.

Proof for Complex Numbers
Let $z \in \C$ be a complex number.

The result follows by the definition of the primitive.