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Sec






Mathematica Notation

Traditional Notation









Elementary Functions > Sec[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b sec(c z))beta





http://functions.wolfram.com/01.11.21.0090.01









  


  










Input Form





Integrate[Sec[c z] (a + b Sec[c z])^\[Beta], z] == Sqrt[2] AppellF1[1/2, 1/2, -\[Beta], 3/2, (1/2) (1 - Sec[c z]), (b - b Sec[c z])/(a + b)] Cot[(c z)/2] (-1 + Sec[c z]) (a + b Sec[c z])^\[Beta] (1/(((a + b Sec[c z])/(a + b))^\[Beta] (c Sqrt[1 + Sec[c 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)





2002-10-15