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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)





http://functions.wolfram.com/01.19.21.1473.01









  


  










Input Form





Integrate[Sinh[a z^r]^v, z] == (I/2)^v z Binomial[v, v/2] (1 - Mod[v, 2]) - ((I^v z)/(2^v r)) Sum[(-1)^i Binomial[v, i] (Gamma[1/r, (-a) (-2 i + v) z^r]/(E^((1/2) I Pi v) ((-a) (-2 i + v) z^r)^r^(-1)) + (E^((I Pi v)/2) Gamma[1/r, a (-2 i + v) z^r])/(a (-2 i + v) z^r)^ r^(-1)), {i, 0, Floor[(1/2) (-1 + 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