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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function and exponential function > Involving products of powers of two direct functions and exponential function > Involving product of power of the direct function, the direct function and exponential function > Involving ep zsinh(c z+d) sinhv(a z+b)





http://functions.wolfram.com/01.19.21.2204.01









  


  








Input Form





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








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