FindRoot and parameters in NIntegrate

*To*: mathgroup at smc.vnet.net*Subject*: [mg124488] FindRoot and parameters in NIntegrate*From*: gac <g.crlsn at gmail.com>*Date*: Sat, 21 Jan 2012 05:18:00 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

I am using Mathematica 8 to solve for parameters in an integral and an auxiliary equation. A prototypical problem is FindRoot[{1 + a + b , NIntegrate[a + b x, {x, 0, 1}]}, {{a, 0}, {b, 0}}] Mathematica reports the correct answer for the parameters a and b: {a -> 1., b -> -2.} But it also reports two error messages: NIntegrate::inumr: The integrand a+b x has evaluated to non-numerical values for all sampling points in the region with boundaries {{0,1}}. >> NIntegrate::izero: Integral and error estimates are 0 on all integration subregions. Try increasing the value of the MinRecursion option. If value of integral may be 0, specify a finite value for the AccuracyGoal option. >> I would appreciate any advice or comments on this problem or the error messages. Thanks. gac

**Follow-Ups**:**Re: FindRoot and parameters in NIntegrate***From:*DrMajorBob <btreat1@austin.rr.com>

**Re: FindRoot and parameters in NIntegrate***From:*Bob Hanlon <hanlonr357@gmail.com>