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Tan






Mathematica Notation

Traditional Notation









Elementary Functions > Tan[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving rational functions of the direct function > Involving (a+b tan(c z))-n





http://functions.wolfram.com/01.08.21.0096.01









  


  










Input Form





Integrate[(A + B Tan[z])/(a + b Tan[z])^2, z] == (Sec[z] (a Cos[z] + b Sin[z]) ((b (a^2 + b^2) (A b - a B) Sin[z])/a + (a^2 A - A b^2 + 2 a b B) z (a Cos[z] + b Sin[z]) + (2 a A b - a^2 B + b^2 B) Log[a Cos[z] + b Sin[z]] (a Cos[z] + b Sin[z])) (A + B Tan[z]))/((a^2 + b^2)^2 (A Cos[z] + B Sin[z]) (a + b Tan[z])^2)










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