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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving rational functions > Involving (a z2+b)-n





http://functions.wolfram.com/01.03.21.0143.01









  


  










Input Form





Integrate[(z E^(c z))/(a z^2 + b)^2, z] == (1/(4 a^(3/2))) (-((2 Sqrt[a] E^(c z))/(b + a z^2)) - (I c E^((I Sqrt[b] c)/Sqrt[a]) ExpIntegralEi[ c (-((I Sqrt[b])/Sqrt[a]) + z)])/Sqrt[b] + (I c ExpIntegralEi[c ((I Sqrt[b])/Sqrt[a] + z)])/ (E^((I Sqrt[b] c)/Sqrt[a]) Sqrt[b]))










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)





2002-12-18





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