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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving exp > Involving ab zr+d z sinh(c zr)





http://functions.wolfram.com/01.19.21.0233.01









  


  










Input Form





Integrate[a^(b Sqrt[z] + d z) Sinh[c Sqrt[z]], z] == (1/(4 (d Log[a])^(3/2))) ((2 a^((b + 2 d Sqrt[z])^2/(4 d)) E^((c (c + 2 b Log[a]))/(4 d Log[a])) (-1 + E^(2 c Sqrt[z])) Sqrt[d Log[a]] - E^(c (b/d + Sqrt[z])) Sqrt[Pi] Erfi[(-c + (b + 2 d Sqrt[z]) Log[a])/(2 Sqrt[d Log[a]])] (c - b Log[a]) - E^(c Sqrt[z]) Sqrt[Pi] Erfi[(c + (b + 2 d Sqrt[z]) Log[a])/(2 Sqrt[d Log[a]])] (c + b Log[a]))/ (a^(b^2/(4 d)) E^((c (c + 2 (b + 2 d Sqrt[z]) Log[a]))/(4 d Log[a]))))










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