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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving rational functions > Involving (a z+b)-n





http://functions.wolfram.com/01.19.21.0146.01









  


  










Input Form





Integrate[(z^3 Sinh[c z])/(a z + b)^2, z] == (1/(a^5 c^2 (b + a z))) ((-b^2) c^2 (b + a z) CoshIntegral[c (b/a + z)] (b c Cosh[(b c)/a] + 3 a Sinh[(b c)/a]) + a (a c (-2 b^2 - a b z + a^2 z^2) Cosh[c z] - (a^2 b - b^3 c^2 + a^3 z) Sinh[c z]) + b^2 c^2 (b + a z) (3 a Cosh[(b c)/a] + b c Sinh[(b c)/a]) SinhIntegral[c (b/a + z)])










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