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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-1cos(c z+d)sinh(a z+b)





http://functions.wolfram.com/01.19.21.1034.01









  


  










Input Form





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










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