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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function and a power function > Involving products of the direct function and a power function > Involving products of two direct functions and a power function > Involving zalpha-1cos(c z)cos(a z)





http://functions.wolfram.com/01.07.21.1495.01









  


  










Input Form





Integrate[z^n Cos[c z] Cos[a z], z] == (-(1/4)) n! (((-I) (a - c))^(-1 - n) E^(I (a - c) z) Sum[((-I) (a - c) z)^k/k!, {k, 0, n}] + ((I (a - c))^(-1 - n) Sum[(I (a - c) z)^k/k!, {k, 0, n}])/ E^(I (a - c) z) + ((-I) (a + c))^(-1 - n) E^(I (a + c) z) Sum[((-I) (a + c) z)^k/k!, {k, 0, n}] + ((I (a + c))^(-1 - n) Sum[(I (a + c) z)^k/k!, {k, 0, n}])/ E^(I (a + 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