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Sin






Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving polynomials or algebraic functions and factors involving exponential functions > Involving exp > Involving ab zr sin(c zr+f z)





http://functions.wolfram.com/01.06.21.0554.01









  


  










Input Form





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