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Tanh






Mathematica Notation

Traditional Notation









Elementary Functions > Tanh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving exp > Involving ab z





http://functions.wolfram.com/01.21.21.0023.01









  


  










Input Form





Integrate[a^(b z) Tanh[c z], z] == (a^(b z) (b E^(2 c z) Hypergeometric2F1[1 + (b Log[a])/(2 c), 1, 2 + (b Log[a])/(2 c), -E^(2 c z)] Log[a] - Hypergeometric2F1[(b Log[a])/(2 c), 1, 1 + (b Log[a])/(2 c), -E^(2 c z)] (2 c + b Log[a])))/(b Log[a] (2 c + b Log[a]))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18