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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 sinh(c zr+g)





http://functions.wolfram.com/01.19.21.0260.01









  


  








Input Form





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








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