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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving products of powers of the direct function > Involving product of power of the direct function and the direct function > Involving sinh(c z)sinhnu(a z)





http://functions.wolfram.com/01.19.21.1536.01









  


  










Input Form





Integrate[Sinh[c z] Sqrt[Sinh[a z]], z] == (Sqrt[-E^((-a) z) + E^(a z)] ((a - 2 c) Hypergeometric2F1[-((a + 2 c)/(4 a)), -(1/2), 3/4 - c/(2 a), E^(2 a z)] - (a + 2 c) E^(2 c z) Hypergeometric2F1[-(1/4) + c/(2 a), -(1/2), 3/4 + c/(2 a), E^(2 a z)]))/E^(c z)/ ((a^2 - 4 c^2) Sqrt[2 - 2 E^(2 a z)])










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