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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and a power functions > Involving cos and power > Involving zalpha-1cos(c z)cosh(a z)





http://functions.wolfram.com/01.20.21.1031.01









  


  










Input Form





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