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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions > Involving sin > Involving sin(d z) cos(c zr+f z+g)





http://functions.wolfram.com/01.07.21.0648.01









  


  










Input Form





Integrate[Sin[d z] Cos[c z^2 + f z + g], z] == (1/(2 Sqrt[-c^2])) (Sqrt[Pi/2] ((-Sqrt[-c]) Cos[(d - f)^2/(4 c) - g] FresnelS[(-d + f + 2 c z)/(Sqrt[c] Sqrt[2 Pi])] - Sqrt[c] Cos[-((d + f)^2/(4 c)) + g] FresnelS[(c (d + f + 2 c z))/ ((-c)^(3/2) Sqrt[2 Pi])] + Sqrt[-c] FresnelC[(-d + f + 2 c z)/(Sqrt[c] Sqrt[2 Pi])] Sin[(d - f)^2/(4 c) - g] + Sqrt[c] FresnelC[(c (d + f + 2 c z))/((-c)^(3/2) Sqrt[2 Pi])] Sin[-((d + f)^2/(4 c)) + g]))










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