Primitive of Hyperbolic Cosine Function

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Theorem

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

where $C$ is an arbitrary constant.


Proof

From Derivative of Hyperbolic Sine:

$\map {\dfrac \d {\d x} } {\sinh x} = \cosh x$

The result follows from the definition of primitive.

$\blacksquare$


Also see


Sources

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