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 Author Comment/Response Ammar Durghalli 03/31/08 01:36am I'm almost always having trouble evaluating trigonometric integrals using Mathematica. Some integrals are even easy to do by hand, yet Mathematica is unable to provide an elegant answer-if any! For example, This integral is used to normalize the solutions to the theta-laplacian equation. I tried to evaluate: Integrate[Sin[x]^(2 n+ 1),{x,0,Pi}]and this is what came out: If[Re[n]>-1, -(Pi^3/2 Csc[n Pi])/((Gamma(-n)(Gamma(n+3/2))),Integrate[Sin[x]^(2 n+ 1),{x,0,Pi}]]. If you try to evaluate this output for,say n=2, you get a complex infinity error.. The answer in the book is given (from tables I'm sure) as 2^(2 n +1)(n!)^2/(2 n +1)! I'm I not entering the integral correctly, or is Mathematica unable to compete with ancient tables of integration? URL: ,

 Subject (listing for 'Definite trig. integrals') Author Date Posted Definite trig. integrals Ammar Durgha... 03/31/08 01:36am Re: Definite trig. integrals Xavier 04/14/08 06:16am
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