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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Involving zalpha-1 eb z cos(c z)





http://functions.wolfram.com/01.07.21.0311.01









  


  










Input Form





Integrate[z^(7/2) E^(b z) Cos[c z], z] == (1/32) Sqrt[z] ((1/(b - I c)^4) (2 E^((b - I c) z) (-105 + 70 (b - I c) z - 28 (b - I c)^2 z^2 + 8 (b - I c)^3 z^3)) + (1/(b + I c)^4) (2 E^((b + I c) z) (-105 + 70 (b + I c) z - 28 (b + I c)^2 z^2 + 8 (b + I c)^3 z^3)) + 105 Sqrt[Pi] z^4 (-(1/((-(b - I c)) z)^(9/2)) - 1/((-(b + I c)) z)^(9/2))) + (105/32) Sqrt[Pi] z^(9/2) (Erf[Sqrt[(-(b - I c)) z]]/((-(b - I c)) z)^(9/2) + Erf[Sqrt[(-(b + I c)) z]]/((-(b + I c)) z)^(9/2))










Standard Form





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MathML Form







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<plus /> <ci> b </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> c </ci> </apply> </apply> </apply> <ci> z </ci> </apply> <cn type='integer'> -105 </cn> </apply> <apply> <power /> <apply> <power /> <apply> <plus /> <ci> b </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> c </ci> </apply> </apply> </apply> <cn type='integer'> 4 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </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