Primitive of Hyperbolic Sine Function

Theorem

 * $\displaystyle \int \sinh x \ \mathrm d x = \cosh x + C$

where $C$ is an arbitrary constant.

Proof
From Derivative of Hyperbolic Cosine Function:
 * $\dfrac{\mathrm d}{\mathrm d x} \left({\cosh x}\right) = \sinh x$

The result follows from the definition of primitive.