Difference between revisions of "Antiderivative of coth"

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\displaystyle\int \mathrm{coth}(z)dz=\log(\sinh(z)),$$ where $\ma...")
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Revision as of 05:40, 16 May 2015

Theorem: The following formula holds: $$\displaystyle\int \mathrm{coth}(z)dz=\log(\sinh(z)),$$ where $\mathrm{coth}$ denotes the hyperbolic cotangent, $\log$ denotes the logarithm, and $\sinh$ denotes the hyperbolic sine.

Proof: