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FresnelC






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > FresnelC[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions > Involving sin > Linear arguments





http://functions.wolfram.com/06.33.21.0024.01









  


  










Input Form





Integrate[Sin[b z^2] FresnelC[a z], z] == (-(a/(4 b))) Sum[((Pi^(2 k) a^(4 k))/(2^(2 k) b^(2 k) ((4 k + 1) (2 k)!))) (Gamma[1 + 2 k, (-I) b z^2] + Gamma[1 + 2 k, I b z^2]), {k, 0, Infinity}]










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)





2001-10-29