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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+d z+e cosh(c zr+f z+g)





http://functions.wolfram.com/01.20.21.0498.01









  


  








Input Form





Integrate[E^(b z^2 + d z + e) Cosh[c z^2 + f z + g], 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])] (Cosh[g] - Sinh[g]) + (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])] (Cosh[g] + Sinh[g])))/ E^((-4 b^2 e + c (d^2 + 4 c e - 2 d f + 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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</apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <plus /> <apply> <cosh /> <ci> g </ci> </apply> <apply> <sinh /> <ci> g </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18