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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+d)cosnu(a z+b)





http://functions.wolfram.com/01.07.21.1115.01









  


  










Input Form





Integrate[Cos[d + c z] Cos[b + a z]^\[Nu], z] == ((-(1/(2 (c - a \[Nu]) (c + a \[Nu])))) I Cos[b + a z]^\[Nu] (E^(2 I (d + c z)) (c + a \[Nu]) Hypergeometric2F1[(c - a \[Nu])/(2 a), -\[Nu], (1/2) (2 + c/a - \[Nu]), -E^(2 I (b + a z))] + (-c + a \[Nu]) Hypergeometric2F1[-((c + a \[Nu])/(2 a)), -\[Nu], -((c + a (-2 + \[Nu]))/(2 a)), -E^(2 I (b + a z))]))/ (E^(I (d + c z)) (1 + E^(2 I (b + a z)))^\[Nu])










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