Primitive of Hyperbolic Sine Function

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Theorem

$\ds \int \sinh x \rd x = \cosh x + C$

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.

$\blacksquare$


Also see


Sources