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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving powers of the direct function > Involving powers of sin > Involving sinhv(a zr+b)





http://functions.wolfram.com/01.19.21.1479.01









  


  










Input Form





Integrate[Sinh[a z^r + b]^v, z] == (z Binomial[v, v/2] (1 - Mod[v, 2]))/ (2^v I^v) - ((1/r) z Sum[(-1)^k Binomial[v, k] ((E^(b (-2 k + v)) Gamma[1/r, (-a) (-2 k + v) z^r])/ ((-a) (-2 k + v) z^r)^r^(-1) + ((-1)^v Gamma[1/r, a (-2 k + v) z^r])/ (E^(b (-2 k + v)) (a (-2 k + v) z^r)^r^(-1))), {k, 0, Floor[(1/2) (-1 + v)]}])/2^v /; Element[v, Integers] && v > 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