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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 function and a power function > Involving exp and power > Involving zn ed z sin(c z2+f z+g)





http://functions.wolfram.com/01.06.21.0606.01









  


  








Input Form





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








Standard Form





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MathML Form







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</apply> <apply> <plus /> <apply> <cos /> <ci> g </ci> </apply> <apply> <times /> <imaginaryi /> <apply> <sin /> <ci> g </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18