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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 cos and exp > Involving ep zcos(a z) ianhv( c z)





http://functions.wolfram.com/01.21.21.0291.01









  


  










Input Form





Integrate[E^(p z) Cos[a z] Tanh[c z]^\[Nu], z] == ((1/2) (1 + E^(-2 c z))^\[Nu] Tanh[c z]^\[Nu] ((E^(((-I) a + p) z) AppellF1[-(((-I) a + p)/(2 c)), -\[Nu], \[Nu], 1 - ((-I) a + p)/(2 c), E^(-2 c z), -E^(-2 c z)])/((-I) a + p) + (E^((I a + p) z) AppellF1[-((I a + p)/(2 c)), -\[Nu], \[Nu], 1 - (I a + p)/(2 c), E^(-2 c z), -E^(-2 c z)])/(I a + p)))/ (1 - E^(-2 c z))^\[Nu]










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