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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric, exponential and a power functions > Involving cos, exp and power > Involving zalpha-1 eb zr+e cos(a zr+q) sinh(c zr+g)





http://functions.wolfram.com/01.19.21.1424.01









  


  










Input Form





Integrate[z^n E^(b Sqrt[z] + e) Cos[a Sqrt[z] + q] Sinh[c Sqrt[z] + g], z] == (1/2) E^(e - g - I q) ((-((-I) a - b - c)^(-2 (1 + n))) E^(2 g + 2 I q) Gamma[2 (1 + n), ((-I) a - b - c) Sqrt[z]] - (E^(2 g) Gamma[2 (1 + n), (I a - b - c) Sqrt[z]])/ (I a - b - c)^(2 (1 + n)) + (E^(2 I q) Gamma[2 (1 + n), ((-I) a - b + c) Sqrt[z]])/ ((-I) a - b + c)^(2 (1 + n)) + Gamma[2 (1 + n), (I a - b + c) Sqrt[z]]/ (I a - b + c)^(2 (1 + n))) /; Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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</apply> </apply> </apply> </apply> </apply> <apply> <in /> <ci> n </ci> <ci> &#8469; </ci> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18