Re: symbolic integration of wave functions
- To: mathgroup at smc.vnet.net
- Subject: [mg116978] Re: symbolic integration of wave functions
- From: "Sjoerd C. de Vries" <sjoerd.c.devries at gmail.com>
- Date: Sun, 6 Mar 2011 05:43:38 -0500 (EST)
- References: <ikt5kn$27$1@smc.vnet.net>
Chris,
A change of variables implies a change of boundary values...
Cheers -- Sjoerd
On Mar 5, 12:09 pm, chris pichon <c.n.c.pic... at gmail.com> wrote:
> Hello,
>
> Has anybody found the following problem with this integral in Mathematica 8 ?
>
> Integrate[ Sin[x] Exp[ I k Cos[x - y]], {x, 0, 2 Pi}]
>
> which produces 0, which is incorrect as it should match
>
> Integrate[Sin[x + y] Exp[I k Cos[x]], {x, 0, 2 Pi}]
>
> 2 I Pi BesselJ[1, k] Sin[y]
>
> Cheers,
>
> Chris