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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 z+c)-n





http://functions.wolfram.com/01.03.21.0144.01









  


  










Input Form





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










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