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A206160 Decimal expansion of the Fresnel Integral int_{x=0..infinity} x*sin(x^3) dx 1

%I #7 Jan 10 2013 06:44:40

%S 3,9,0,9,0,0,1,7,8,4,2,1,1,6,6,8,1,7,9,6,2,1,7,9,2,9,9,8,4,2,7,1,6,0,

%T 8,1,8,8,6,5,3,9,5,3,8,3,8,3,8,3,1,7,3,6,6,3,0,4,9,9,4,3,0,7,9,4,1,4,

%U 2,4,4,8

%N Decimal expansion of the Fresnel Integral int_{x=0..infinity} x*sin(x^3) dx

%C The imaginary part associated with A205885.

%C The integral int_{x=0..infinity} x^2*sin(x^3)dx = 1/3 by elementary substitution.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Fresnel_integral">Fresnel Integral</a>

%F Equals A205885 times A002194.

%e 0.3909001784211668179621792998...

%p evalf(sqrt(3)*GAMMA(2/3)/6) ;

%Y Cf. A204068.

%K nonn,cons,easy

%O 0,1

%A _R. J. Mathar_, Jan 10 2013

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