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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Involving zalpha-1 eb z sinh(c z)





http://functions.wolfram.com/01.19.21.0303.01









  


  










Input Form





Integrate[z^(5/2) E^(b z) Sinh[c z], z] == (1/16) z^(7/2) ((30 E^((b + c) z))/((b + c)^3 z^3) + (20 b E^((b - c) z))/((b - c)^3 z^2) + (20 c E^((b - c) z))/ ((-b + c)^3 z^2) - (20 b E^((b + c) z))/((b + c)^3 z^2) - (20 c E^((b + c) z))/((b + c)^3 z^2) - (8 b^2 E^((b - c) z))/ ((b - c)^3 z) + (16 b c E^((b - c) z))/((b - c)^3 z) + (8 c^2 E^((b - c) z))/((-b + c)^3 z) + (8 b^2 E^((b + c) z))/ ((b + c)^3 z) + (16 b c E^((b + c) z))/((b + c)^3 z) + (8 c^2 E^((b + c) z))/((b + c)^3 z) + (15 Sqrt[Pi])/((-b + c) z)^(7/2) - (15 Sqrt[Pi])/((-(b + c)) z)^(7/2) + (30 E^((b - c) z))/((-b) z + c z)^3 - (15 Sqrt[Pi] Erf[Sqrt[(-b + c) z]])/((-b + c) z)^(7/2) + (15 Sqrt[Pi] Erf[Sqrt[(-(b + c)) z]])/((-(b + c)) z)^(7/2))










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