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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function and trigonometric functions > Involving algebraic functions of the direct function and trigonometric functions > Involving cos > Involving cos(d z)(a+b sinh(c z))beta





http://functions.wolfram.com/01.19.21.2802.01









  


  










Input Form





Integrate[Cos[d z] (a + b Sinh[c z])^\[Beta], z] == ((a + b Sinh[c z])^\[Beta] (((-(d + I c \[Beta])) AppellF1[-((I d)/c) - \[Beta], -\[Beta], -\[Beta], 1 - (I d)/c - \[Beta], -((b E^(c z))/(a + Sqrt[a^2 + b^2])), (b E^(c z))/(-a + Sqrt[a^2 + b^2])] + E^(2 I d z) (d - I c \[Beta]) AppellF1[(I d)/c - \[Beta], -\[Beta], -\[Beta], 1 + (I d)/c - \[Beta], -((b E^(c z))/(a + Sqrt[a^2 + b^2])), (b E^(c z))/ (-a + Sqrt[a^2 + b^2])])/(2 (d + I c \[Beta]) (I d + c \[Beta]))))/ (E^(I d z) (1 + (b E^(c z))/(a - Sqrt[a^2 + b^2]))^\[Beta] (1 + (b E^(c z))/(a + Sqrt[a^2 + b^2]))^\[Beta])










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