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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/01.03.21.0146.01









  


  










Input Form





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





2002-12-18





© 1998- Wolfram Research, Inc.