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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving products of powers of the direct function > Involving product of power of the direct function and the direct function > Involving cos(c z)cosnu(a z)





http://functions.wolfram.com/01.07.21.1106.01









  


  










Input Form





Integrate[Cos[c z]/Sqrt[Cos[a z]], z] == -((I Sqrt[2] Sqrt[1 + E^(2 I a z)] ((a + 2 c) Hypergeometric2F1[(a - 2 c)/(4 a), 1/2, 5/4 - c/(2 a), -E^(2 I a z)] + (a - 2 c) E^(2 I c z) Hypergeometric2F1[ (a + 2 c)/(4 a), 1/2, 5/4 + c/(2 a), -E^(2 I a z)]))/E^(I c z))/ ((a^2 - 4 c^2) Sqrt[E^((-I) a z) + E^(I a z)])










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