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ExpIntegralEi






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > ExpIntegralEi[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions and a power function > Involving sin and power





http://functions.wolfram.com/06.35.21.0031.01









  


  










Input Form





Integrate[z^2 Sin[b z] ExpIntegralEi[a z], z] == (-(1/b^3)) (-((b^2 E^(a z) (a^2 + 3 b^2 + a (a^2 + b^2) z) Cos[b z])/ (a^2 + b^2)^2) + ExpIntegralEi[(a - I b) z] + ExpIntegralEi[(a + I b) z] - (b E^(a z) (-2 a (a^2 + 2 b^2) + b^2 (a^2 + b^2) z) Sin[b z])/ (a^2 + b^2)^2 + ExpIntegralEi[a z] ((-2 + b^2 z^2) Cos[b z] - 2 b z Sin[b 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