Integrate problem
- To: mathgroup at yoda.physics.unc.edu
- Subject: Integrate problem
- From: Fasol <fasol at tansei.cc.u-tokyo.ac.jp>
- Date: Thu, 28 Jan 93 17:52:38 JST
Dear Mathgroup:
I tried to solve the integral
Integrate[Cos[kr Cos[phi]],{phi,0,2 Pi}]
using Mma 2.1 on a Macintosh. It turns out, that this integral
is equal to
2 Pi BesselJ[0,kr].
Nevertheless, I could not get Mma to give me this result,
Mathematica just returned the unevaluated expression after a while.
(I did load the integration packages, as suggested in November 1992
by Tom Wickham-Jones in a discussion in mathgroup, but involving
the different integral Integrate[BesselJ[0,k r], {r,0,Infinity}]).
Of course, I do not expect Mma to solve each and every
integral, but maybe somebody knows a trick I overlooked or
recognizes a mistake I made - or maybe this will work in a
future update of Mma.
From:
Gerhard Fasol
fasol at tansei.cc.u-tokyo.ac.jp