Problem with NIntegrte
- To: mathgroup at smc.vnet.net
- Subject: [mg47725] Problem with NIntegrte
- From: Joel Storch <jstorch at earthlink.net>
- Date: Fri, 23 Apr 2004 02:31:08 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
y=BesselJ[0,x]/Sqrt[1+x^2]
Integrate[y,{x,-Infinity,Infimity}] yields
2 BesselI[0,1/2] BesselK[0,1/2] (1.966)
2 NIntegrate[y,{x,0,Infinity},Method->Oscillatory] gives 1.966
(the integrand is an even function)
However,
NIntegrate[y,{x,-Infinity,Infinity},Method->Oscillatory] gives
0.00044788
(Mathematica V5.1)