wrong result when computing a definite integral

*To*: mathgroup at smc.vnet.net*Subject*: [mg129392] wrong result when computing a definite integral*From*: Dexter Filmore <liquid.phynix at gmail.com>*Date*: Thu, 10 Jan 2013 21:39:16 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net

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.

**Follow-Ups**:**Re: wrong result when computing a definite integral***From:*Alex Krasnov <akrasnov@eecs.berkeley.edu>