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CosIntegral






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > CosIntegral[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power





http://functions.wolfram.com/06.38.21.0017.01









  


  










Input Form





Integrate[z E^(b z) CosIntegral[a z], z] == (1/(2 b^2 (a^2 + b^2))) (-2 b^2 E^(b z) Cos[a z] + 2 (a^2 + b^2) E^(b z) (-1 + b z) CosIntegral[a z] + (a^2 + b^2) ExpIntegralEi[((-I) a + b) z] + a^2 ExpIntegralEi[(I a + b) z] + b^2 ExpIntegralEi[(I a + b) z] - 2 a b E^(b z) Sin[a z])










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)





2001-10-29





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