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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving powers of the direct function > Involving powers of cos > Involving cosv(a zr)





http://functions.wolfram.com/01.07.21.1044.01









  


  










Input Form





Integrate[Cos[c z^r]^v, z] == (-2^(-v)) z (Binomial[v, v/2] (-1 + Mod[v, 2]) + (1/r) Sum[(Binomial[v, s] (((-I) c (2 s - v) z^r)^(1/r) Gamma[1/r, I c (2 s - v) z^r] + (I c (2 s - v) z^r)^(1/r) Gamma[1/r, I c (-2 s + v) z^r]))/(c^2 (-2 s + v)^2 z^(2 r))^r^(-1), {s, 0, Floor[(1/2) (-1 + v)]}]) /; Element[v, Integers] && v > 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