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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 sin, exp and power > Involving zalpha-1ep zr sin(b zr)sinh(c zr)





http://functions.wolfram.com/01.19.21.1367.01









  


  










Input Form





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