Difference between revisions of "Antiderivative of arcsinh"

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(Created page with "==Theorem== The following formula holds: $$\displaystyle\int \mathrm{arcsinh}(z) \mathrm{d}z = z \mathrm{arcsinh}(z)-\sqrt{z^2+1} + C,$$ where $\mathrm{arcsinh}$ denotes the [...")
 
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Latest revision as of 23:29, 11 December 2016

Theorem

The following formula holds: $$\displaystyle\int \mathrm{arcsinh}(z) \mathrm{d}z = z \mathrm{arcsinh}(z)-\sqrt{z^2+1} + C,$$ where $\mathrm{arcsinh}$ denotes the inverse hyperbolic sine.

Proof

References