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Tanh






Mathematica Notation

Traditional Notation









Elementary Functions > Tanh[z] > Integration > Indefinite integration > Involving functions of the direct function, trigonometric and exponential functions > Involving powers of the direct function, trigonometric and exponential functions > Involving sin and exp > Involving ep z sin(a z) tanhv( c z)





http://functions.wolfram.com/01.21.21.0288.01









  


  










Input Form





Integrate[E^(I a z) Sin[a z] Tanh[c z]^\[Nu], z] == (-(1/(4 a))) ((E^(2 I a z) (1 + E^(-2 c z))^\[Nu] AppellF1[-((I a)/c), \[Nu], -\[Nu], 1 - (I a)/c, -E^(-2 c z), E^(-2 c z)] Tanh[c z]^\[Nu])/ (1 - E^(-2 c z))^\[Nu]) + (1/(2 c (1 - \[Nu]))) (I Tanh[c z]^(\[Nu] - 1) Hypergeometric2F1[(1 - \[Nu])/2, 1, (3 - \[Nu])/2, Coth[c z]^2])










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