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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 > Involving exp > Involving ab zr+d z+e sinh(c zr)





http://functions.wolfram.com/01.19.21.0236.01









  


  








Input Form





Integrate[E^(b z^2 + d z + e) Sinh[c z^2], z] == (1/(4 (b - c) (b + c))) (E^((d^2 - 4 b e + 4 c e)/(-4 b + 4 c)) Sqrt[Pi] ((-Sqrt[b - c]) (b + c) Erfi[(d + 2 (b - c) z)/(2 Sqrt[b - c])] + (b - c) Sqrt[b + c] E^((c d^2)/(2 b^2 - 2 c^2)) Erfi[(d + 2 (b + c) z)/(2 Sqrt[b + c])]))








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