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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 cos, exp and power > Involving zalpha-1ep zcos(c z+d)sinh(a z+b)





http://functions.wolfram.com/01.19.21.1405.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) E^(p z) Cos[c z] Sinh[b + a z], z] == ((1/4) z^\[Alpha] (Gamma[\[Alpha], (a - I c - p) z]/ ((a - I c - p) z)^\[Alpha] + Gamma[\[Alpha], (a + I c - p) z]/ ((a + I c - p) z)^\[Alpha] + E^(2 b) ((-((-(a - I c + p)) z)^(-\[Alpha])) Gamma[\[Alpha], (-(a - I c + p)) z] - Gamma[\[Alpha], (-(a + I c + p)) z]/ ((-(a + I c + p)) z)^\[Alpha])))/E^b










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