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]


On 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:
> 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.