Arcsinh

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The inverse hyperbolic sine function $\mathrm{arcsinh}$ is function is the inverse function of the hyperbolic sine function. It may be defined by $$\mathrm{arcsinh}(z)=\log \left(z + \sqrt{1+z^2} \right),$$ where $\log$ denotes the logarithm.

Properties

Derivative of arcsinh
Antiderivative of arcsinh

See Also

Arcsin
Sine
Sinh

References

Abramowitz&Stegun

Inverse hyperbolic trigonometric functions