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variants of this functions
Log




Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Integration > Indefinite integration > Involving the direct function





http://functions.wolfram.com/01.04.21.0004.01









  


  








Input Form





Integrate[Log[z]/Sqrt[c z^2 + d], z] == (1/(2 Sqrt[c/d] Sqrt[d + c z^2])) (Sqrt[1 + (c z^2)/d] (-ArcSinh[Sqrt[c/d] z]^2 - 2 ArcSinh[Sqrt[c/d] z] Log[1 - E^(-2 ArcSinh[Sqrt[c/d] z])] + 2 Log[z] Log[Sqrt[c/d] z + Sqrt[1 + (c z^2)/d]] + PolyLog[2, E^(-2 ArcSinh[Sqrt[c/d] 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