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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 and a power functions > Involving cos and power > Involving zalpha-1 cos(b zr) sinh(c zr+g)





http://functions.wolfram.com/01.19.21.1069.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) Cos[b z^r] Sinh[c z^r + g], z] == (-(1/(4 r))) (z^\[Alpha] ((E^g Gamma[\[Alpha]/r, ((-I) b - c) z^r])/ (((-I) b - c) z^r)^(\[Alpha]/r) + (E^g Gamma[\[Alpha]/r, (I b - c) z^r])/ ((I b - c) z^r)^(\[Alpha]/r) - Gamma[\[Alpha]/r, ((-I) b + c) z^r]/ (E^g (((-I) b + c) z^r)^(\[Alpha]/r)) - Gamma[\[Alpha]/r, (I b + c) z^r]/ (E^g ((I b + c) z^r)^(\[Alpha]/r))))










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