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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving rational functions of exp > Involving (a+b ed z)-n cos(c z+e)





http://functions.wolfram.com/01.07.21.0275.01









  


  










Input Form





Integrate[Cos[c z]/(a + b E^(d z))^n, z] == (1/(2 c)) ((I (Hypergeometric2F1[-((I c)/d), n, 1 - (I c)/d, -((b E^(d z))/a)] - E^(2 I c z) Hypergeometric2F1[(I c)/d, n, 1 + (I c)/d, -((b E^(d z))/a)]))/(a^n E^(I c z))) /; Element[n, Integers] && n > 0










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