Re: wrong result when computing a definite integral

*To*: mathgroup at smc.vnet.net*Subject*: [mg129413] Re: wrong result when computing a definite integral*From*: danl at wolfram.com*Date*: Fri, 11 Jan 2013 22:25:24 -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*References*: <kcntuu$f8f$1@smc.vnet.net>

On Thursday, January 10, 2013 8:38:22 PM UTC-6, 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. Thank you for the example. I reported this as a bug. I apologize for any inconvenience it may have caused. Daniel Lichtblau Wolfram Research