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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-1 cos(b zr) cosh(c zr)





http://functions.wolfram.com/01.20.21.1057.01









  


  










Input Form





Integrate[z^n Cos[b z^2] Cosh[c z^2], z] == (-(1/8)) z^(1 + n) ((((-I) b - c) z^2)^((1/2) (-1 - n)) Gamma[(1 + n)/2, ((-I) b - c) z^2] + ((I b - c) z^2)^((1/2) (-1 - n)) Gamma[(1 + n)/2, (I b - c) z^2] + (((-I) b + c) z^2)^((1/2) (-1 - n)) Gamma[(1 + n)/2, ((-I) b + c) z^2] + ((I b + c) z^2)^((1/2) (-1 - n)) Gamma[(1 + n)/2, (I b + c) z^2]) /; 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