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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b sinh2(c z))betasinh(d z)





http://functions.wolfram.com/01.19.21.1770.01









  


  








Input Form





Integrate[(a + b Sinh[c z]^2)^\[Beta] Sinh[c z], z] == (1/c) ((Cosh[c z] (a - b + b Cosh[c z]^2)^\[Beta] Hypergeometric2F1[1/2, -\[Beta], 3/2, (b Cosh[c z]^2)/(-a + b)])/ (1 + (b Cosh[c z]^2)/(a - b))^\[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