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Exp




Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving rational functions of the direct function > Involving 1/a e2d z+b ed z+c





http://functions.wolfram.com/01.03.21.0440.01









  


  








Input Form





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








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