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An integral
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09-07-2014, 07:10 AM
Post: #10
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RE: An integral
This is a Beta integral, 36*Beta(5/3,4/3), as can be easily seen by the change of variable x=6t. Then 36*Beta(5/3,4/3)=18*Gamma(4/3)*Gamma(5/3)=18*1/3*Gamma(1/3)*2/3*Gamma(2/3)=4*Gamma(1/3)*Gamma(2/3) and
Gamma(1/3)*Gamma(2/3)=pi/sin(pi/3)=2*pi/sqrt(3) (Euler reflexion formula) |
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An integral - lrdheat - 09-06-2014, 04:24 PM
RE: An integral - jebem - 09-06-2014, 04:58 PM
RE: An integral - lrdheat - 09-06-2014, 06:31 PM
RE: An integral - jebem - 09-06-2014, 07:49 PM
RE: An integral - patrice - 09-06-2014, 07:57 PM
RE: An integral - jebem - 09-06-2014, 08:05 PM
RE: An integral - patrice - 09-06-2014, 09:10 PM
RE: An integral - lrdheat - 09-06-2014, 07:59 PM
RE: An integral - lrdheat - 09-06-2014, 10:00 PM
RE: An integral - parisse - 09-07-2014 07:10 AM
RE: An integral - Thomas Klemm - 09-07-2014, 08:27 AM
RE: An integral - lrdheat - 09-07-2014, 07:54 PM
RE: An integral - parisse - 09-08-2014, 06:16 AM
RE: An integral - lrdheat - 09-08-2014, 08:10 PM
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