Antiderivative of tanh

From specialfunctionswiki
Revision as of 05:34, 16 May 2015 by Tom (talk | contribs) (Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\displaystyle\int \tanh(z)dz = \log(\c...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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: