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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving products of the direct > Involving products of two direct functions > Involving cos(d z+e) cos(c zr)





http://functions.wolfram.com/01.07.21.1062.01









  


  










Input Form





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










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