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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions > Involving powers of cos > Involving cosmu(c z)cosh(a z+b)





http://functions.wolfram.com/01.20.21.0774.01









  


  










Input Form





Integrate[Cos[c z]^\[Mu] Cosh[b + a z], z] == ((1/2) Cos[c z]^\[Mu] (-((1/(a + I c \[Mu])) (Hypergeometric2F1[(I (a + I c \[Mu]))/(2 c), -\[Mu], 1 + (I a)/(2 c) - \[Mu]/2, -E^(2 I c z)]/E^(a z))) + (1/(a - I c \[Mu])) (E^(2 b + a z) Hypergeometric2F1[ -((I a + c \[Mu])/(2 c)), -\[Mu], 1 - (I a)/(2 c) - \[Mu]/2, -E^(2 I c z)])))/(E^b (1 + E^(2 I c z))^\[Mu])










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