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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+e sinh(c z)





http://functions.wolfram.com/01.19.21.0325.01









  


  










Input Form





Integrate[z^5 E^(b z + e) Sinh[c z], z] == (1/((b - c)^6 (b + c)^6)) (E^(e + b z) (c (10 b^9 z^4 - b^10 z^5 + 5 b^8 z^3 (-12 + c^2 z^2) - 40 b^7 z^2 (-6 + c^2 z^2) - 5 b^2 c^4 z (-216 + c^4 z^4) - 10 b^6 z (60 - 16 c^2 z^2 + c^4 z^4) + 10 b^4 c^2 z (-60 - 12 c^2 z^2 + c^4 z^4) + 60 b^5 (12 - 4 c^2 z^2 + c^4 z^4) - 40 b^3 c^2 (-60 + 6 c^2 z^2 + c^4 z^4) + c^6 z (120 + 20 c^2 z^2 + c^4 z^4) + 10 b c^4 (72 + 24 c^2 z^2 + c^4 z^4)) Cosh[c z] + (-5 b^10 z^4 + b^11 z^5 + 15 b^8 z^2 (-4 + c^2 z^2) - 5 b^9 z^3 (-4 + c^2 z^2) + 10 b^7 z (12 + c^4 z^4) - 10 b^4 c^2 (180 - 60 c^2 z^2 + c^4 z^4) + 15 b^2 c^4 (-120 - 16 c^2 z^2 + c^4 z^4) - 10 b^5 c^2 z (-108 + 12 c^2 z^2 + c^4 z^4) - 5 c^6 (24 + 12 c^2 z^2 + c^4 z^4) - 10 b^6 (12 + 24 c^2 z^2 + c^4 z^4) + 5 b^3 c^4 z (-120 + 32 c^2 z^2 + c^4 z^4) - b c^6 z (600 + 60 c^2 z^2 + c^4 z^4)) Sinh[c z]))










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2002-12-18