Difference between revisions of "Antiderivative of tanh"

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\displaystyle\int \tanh(z)dz = \log(\c...")
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Revision as of 05:34, 16 May 2015

Theorem: The following formula holds: $$\displaystyle\int \tanh(z)dz = \log(\cosh(z)),$$ where $\tanh$ denotes the hyperbolic tangent, $\log$ denotes the logarithm, and $\cosh$ denotes the hyperbolic cosine.

Proof: