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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function and exponential function > Involving products of the direct function and exponential function > Involving products of two direct functions and exponential function > Involving ep zrsinh(b zr)sinh(c z)





http://functions.wolfram.com/01.19.21.2180.01









  


  








Input Form





Integrate[E^(p z^2) Sinh[b z^2] Sinh[c z], z] == E^((c^2 p)/(2 b^2 - 2 p^2)) Sqrt[Pi] ((E^(c^2/(4 (b + p))) Sqrt[-b + p] (b + p) Erfi[(-c - 2 b z + 2 p z)/(2 Sqrt[-b + p])] - E^(c^2/(4 (b + p))) Sqrt[-b + p] (b + p) Erfi[(c + 2 (-b + p) z)/(2 Sqrt[-b + p])] + E^(c^2/(-4 b + 4 p)) (b - p) Sqrt[b + p] (Erfi[(-c + 2 (b + p) z)/(2 Sqrt[b + p])] - Erfi[(c + 2 (b + p) z)/(2 Sqrt[b + p])]))/(8 (-b + p) (b + p)))








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