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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving polynomials or algebraic functions and factors involving exponential functions > Involving exp > Involving ab zr+d z sinh(c zr+f z)





http://functions.wolfram.com/01.19.21.0471.01









  


  










Input Form





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