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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 exponential functions > Involving powers of sin and exp > Involving ep zsinmu(c z+d) sinh(a z)





http://functions.wolfram.com/01.19.21.1210.01









  


  










Input Form





Integrate[E^(p z) Sin[d + c z]^\[Mu] Sinh[a z], z] == ((1/2) ((1/(a + p - I c \[Mu])) (E^((a + p) z) Hypergeometric2F1[ -((I (a + p - I c \[Mu]))/(2 c)), -\[Mu], (1/2) (2 - (I (a + p))/c - \[Mu]), E^(2 I (d + c z))]) + (1/(a - p + I c \[Mu])) (E^((-a) z + p z) Hypergeometric2F1[ (I (a - p + I c \[Mu]))/(2 c), -\[Mu], (1/2) (2 + (I (a - p))/c - \[Mu]), E^(2 I (d + c z))])) Sin[d + c z]^\[Mu])/(1 - E^(2 I (d + c z)))^\[Mu]










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