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Sin




Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Integration > Indefinite integration > Involving functions of the direct function and exponential function > Involving products of the direct function and exponential function > Involving products of two direct functions and exponential function > Involving ep z sin(b zr)sin(c zr)





http://functions.wolfram.com/01.06.21.1357.01









  


  








Input Form





Integrate[E^(p z) Sin[b Sqrt[z]] Sin[c Sqrt[z]], z] == (1/8) ((8 E^(p z) Sin[b Sqrt[z]] Sin[c Sqrt[z]])/p + ((b + c) E^((b + c)^2/(4 p)) Sqrt[Pi] Erf[(-b - c - 2 I p Sqrt[z])/(2 Sqrt[p])])/p^(3/2) + ((b - c) E^((-b + c)^2/(4 p)) Sqrt[Pi] Erf[(b - c - 2 I p Sqrt[z])/(2 Sqrt[p])])/p^(3/2) + ((b - c) E^((b - c)^2/(4 p)) Sqrt[Pi] Erf[(b - c + 2 I p Sqrt[z])/(2 Sqrt[p])])/p^(3/2) + (I (b + c) E^((b + c)^2/(4 p) - 2 I Pi) Sqrt[Pi] Erfi[(I b + I c + 2 p Sqrt[z])/(2 Sqrt[p])])/p^(3/2))








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