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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 sinh(c z))nu)beta





http://functions.wolfram.com/01.19.21.1715.01









  


  










Input Form





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