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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving exp > Involving ab zr+d z cosh(f z+g)





http://functions.wolfram.com/01.20.21.0206.01









  


  










Input Form





Integrate[a^(b Sqrt[z] + d z) Cosh[f z + g], z] == ((1/4) (-(b E^((b^2 Log[a]^2)/(4 f - 4 d Log[a])) Sqrt[Pi] Erfi[(b Log[a] - 2 Sqrt[z] (f - d Log[a]))/(2 Sqrt[-f + d Log[a]])] Log[a])/(-f + d Log[a])^(3/2) - (b E^(2 g - (b^2 Log[a]^2)/(4 (f + d Log[a]))) Sqrt[Pi] Erfi[(b Log[a] + 2 Sqrt[z] (f + d Log[a]))/(2 Sqrt[f + d Log[a]])] Log[a])/(f + d Log[a])^(3/2) - (2 a^(b Sqrt[z] + d z) (1/(f - d Log[a]) - E^(2 (g + f z))/ (f + d Log[a])))/E^(f z)))/E^g










Standard Form





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MathML Form







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</apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <ln /> <ci> a </ci> </apply> <apply> <power /> <apply> <power /> <apply> <plus /> <ci> f </ci> <apply> <times /> <ci> d </ci> <apply> <ln /> <ci> a </ci> </apply> </apply> </apply> <cn type='rational'> 3 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </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