Primitive of Hyperbolic Sine Function

Theorem

 * $\displaystyle \int \sinh x \rd x = \cosh x + C$

where $C$ is an arbitrary constant.

Proof
From Derivative of Hyperbolic Cosine:
 * $\map {\dfrac \d {\d x} } {\cosh x} = \sinh x$

The result follows from the definition of primitive.

Also see

 * Primitive of Hyperbolic Cosine Function


 * Primitive of Hyperbolic Tangent Function
 * Primitive of Hyperbolic Cotangent Function


 * Primitive of Hyperbolic Secant Function
 * Primitive of Hyperbolic Cosecant Function