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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 functions > Involving sin > Involving sin(b zr+d z+e) sinh(c zr+f z+g)





http://functions.wolfram.com/01.19.21.0598.01









  


  










Input Form





Integrate[Sin[b z^2 + d z + e] Sinh[c z^2 + f z + g], z] == -(((-1)^(1/4) E^(-((I d^2 + 2 d f - I f^2)/(4 (b - I c))) + I (e - I g)) Sqrt[Pi] Erfi[((-1)^(1/4) (d - I f + 2 b z - 2 I c z))/ (2 Sqrt[b - I c])])/(8 Sqrt[b - I c])) + ((-1)^(3/4) E^((I (d^2 - 2 I d f - f^2))/(4 (b - I c)) - I (e - I g)) Sqrt[Pi] Erfi[((-1)^(3/4) (d - I f + 2 b z - 2 I c z))/ (2 Sqrt[b - I c])])/(8 Sqrt[b - I c]) + ((-1)^(1/4) E^(-((I (d^2 + 2 I d f - f^2))/(4 (b + I c))) + I (e + I g)) Sqrt[Pi] Erfi[((-1)^(1/4) (d + I f + 2 b z + 2 I c z))/ (2 Sqrt[b + I c])])/(8 Sqrt[b + I c]) - ((-1)^(3/4) E^(-(((-I) d^2 + 2 d f + I f^2)/(4 (b + I c))) - I (e + I g)) Sqrt[Pi] Erfi[((-1)^(3/4) (d + I f + 2 b z + 2 I c z))/ (2 Sqrt[b + I c])])/(8 Sqrt[b + I c])










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