# Integration of Hyperbolic Sine (sinh)

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**Formula:** `âˆ«sinh(x) dx = cosh(x) + C`

The hyperbolic sine function, denoted as ** sinh(x)**, is an analog of the sine function from trigonometry and is defined as

**. Integration of the hyperbolic sine function yields the hyperbolic cosine function,**

*sinh(x) = (e^x - e^-x) / 2***, plus a constant of integration C. The hyperbolic cosine is defined as**

*cosh(x)***. This formula can be used in various fields of mathematics and physics such as in calculations involving hyperbolic trigonometric relations.**

*cosh(x) = (e^x + e^-x) / 2*Tags: Calculus, Integration, Hyperbolic Functions, Sinh