```Date: Jan 11, 2013 10:22 PM
Author: Alex Krasnov
Subject: Re: wrong result when computing a definite integral

Integrate takes the integration variables in prefix order, so perhaps you meant the following:In:	Integrate[Exp[I*Sqrt[3]*y], {y, -Pi, Pi}, {x, -2*Pi, 2*Pi}]Out:	(8*Pi*Sin[Sqrt[3]*Pi])/Sqrt[3]AlexOn Thu, 10 Jan 2013, Dexter Filmore wrote:> hi group,>> i run into this problem today when giving a bunch of easy integrals to mathematica.> here's a wolfram alpha link to the problem:> http://www.wolframalpha.com/input/?i=Integrate%5BExp%5BI+Sqrt%5B3%5Dy%5D%2C%7Bx%2C-2Pi%2C2Pi%7D%2C%7By%2C-Pi%2CPi%7D%5D#>> the integrand does not depend on the 'x' variable, the inner integration should only result in a factor of 4Pi, and the correct result is a real number, yet the below integral gives a complex number which is far off from the correct value:> Integrate[Exp[I Sqrt[3] y], {x, -2 Pi, 2 Pi}, {y, -Pi, Pi}] -> -((4 I (-1 + E^(2 I Sqrt[3] Pi)) Pi)/Sqrt[3])>> from some trial and error it seems the result is also incorrect for non-integer factors in the exponential.>
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