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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 sec2(c z))n)beta





http://functions.wolfram.com/01.11.21.0102.01









  


  










Input Form





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










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