What is the integral of sinh(x)+C ?

The integral of sinh(x)+C is cosh(x)+Cx+C

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integral of sinh(x)+C

\int sinh (x) + C d x

cosh (x) + C x + C

Solution steps

\int sinh (x) + C d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int sinh (x) d x + \int C d x

\int sinh (x) d x = cosh (x)

\int C d x = C x

= cosh (x) + C x

Add a constant to the solution

= cosh (x) + C x + C

\frac{\partial}{\partial y} (x^{n} sin (\frac{y}{x ^{2}}))

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