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Tan






Mathematica Notation

Traditional Notation









Elementary Functions > Tan[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions > Involving algebraic functions of cos > Involving cos(2c z)(a+b cos(2c z))beta





http://functions.wolfram.com/01.08.21.0054.01









  


  










Input Form





Integrate[Cos[2 c z] (a + b Cos[2 c z])^\[Beta] Tan[c z], z] == (1/(2 b c \[Beta] (1 + \[Beta]))) (((a + b Cos[2 c z])^\[Beta] (b (1 + \[Beta]) ((a + b Cos[2 c z])/(a - b))^ \[Beta] Hypergeometric2F1[-\[Beta], -\[Beta], 1 - \[Beta], -(((a - b) Sec[c z]^2)/(2 b))] - \[Beta] (b + b Cos[2 c z] ((a + b Cos[2 c z])/(a - b))^\[Beta] + a (-1 + ((a + b Cos[2 c z])/(a - b))^\[Beta])) (1 + ((a - b) Sec[c z]^2)/(2 b))^\[Beta]))/ (((a + b Cos[2 c z])/(a - b))^\[Beta] (1 + ((a - b) Sec[c z]^2)/(2 b))^ \[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)





2002-12-18





© 1998- Wolfram Research, Inc.