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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function > Involving power > Involving zalpha-1and arguments a zr





http://functions.wolfram.com/01.19.21.0086.01









  


  








Input Form





Integrate[z^(2 n - 1) Sinh[a z^2], z] == (1/4) ((-(-a)^(-n)) (((-1)^(-1 + n) ExpIntegralEi[a z^2])/(-n)! + E^(a z^2) Sum[((-a) z^2)^k/Pochhammer[n, 1 + k - n], {k, 0, -1 + n}] - E^(a z^2) Sum[((-a) z^2)^k/Pochhammer[n, 1 + k - n], {k, n, -1}]) + (((-1)^(-1 + n) ExpIntegralEi[(-a) z^2])/(-n)! + Sum[(a z^2)^k/Pochhammer[n, 1 + k - n], {k, 0, -1 + n}]/E^(a z^2) - Sum[(a z^2)^k/Pochhammer[n, 1 + k - n], {k, n, -1}]/E^(a z^2))/a^n) /; Element[n, Integers]








Standard Form





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MathML Form







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<apply> <times /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> a </ci> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <ci> k </ci> </apply> <apply> <power /> <apply> <ci> Pochhammer </ci> <ci> n </ci> <apply> <plus /> <ci> k </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> n </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> <apply> <in /> <ci> n </ci> <integers /> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2002-12-18