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CosIntegral






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > CosIntegral[z] > Integration > Indefinite integration > Involving direct function and Gamma-, Beta-, Erf-type functions > Involving exponential integral-type functions and a power function > Involving Ei and power





http://functions.wolfram.com/06.38.21.0063.01









  


  










Input Form





Integrate[z ExpIntegralEi[b z] CosIntegral[a z], z] == (1/4) (-((2 E^(b z) (-1 + b z) CosIntegral[a z])/b^2) - (1/(a^2 b^2)) ((a^2 - b^2) (ExpIntegralEi[((-I) a + b) z] + ExpIntegralEi[(I a + b) z])) + (2 E^(b z) Sin[a z])/(a b) - (1/a^2) (2 ExpIntegralEi[b z] (Cos[a z] - a^2 z^2 CosIntegral[a z] + a 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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