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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[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+e cosh(c zr+f z)





http://functions.wolfram.com/01.20.21.0466.01









  


  










Input Form





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