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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+e sinh(c zr+f z)





http://functions.wolfram.com/01.19.21.0477.01









  


  








Input Form





Integrate[E^(b Sqrt[z] + d z + e) Sinh[c Sqrt[z] + f z], z] == -(E^(e + (b - c) Sqrt[z] + (d - f) z)/(2 (d - f))) + E^(e + (b + c) Sqrt[z] + (d + f) z)/(2 (d + f)) + ((b - c) E^((b^2 - 2 b c + c^2 - 4 d e + 4 e f)/(-4 d + 4 f)) Sqrt[Pi] Erfi[(b - c + 2 (d - f) Sqrt[z])/(2 Sqrt[d - f])])/(4 (d - f)^(3/2)) - ((b + c) Sqrt[Pi] Erfi[(b + c + 2 (d + f) Sqrt[z])/(2 Sqrt[d + f])])/ (E^((b^2 + 2 b c + c^2 - 4 e (d + f))/(4 (d + f))) (4 (d + f)^(3/2)))








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