Re: solve an integration equation

*To*: mathgroup at smc.vnet.net*Subject*: [mg99519] Re: [mg99495] solve an integration equation*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Thu, 7 May 2009 06:34:23 -0400 (EDT)*Reply-to*: hanlonr at cox.net

With[{a = 1, b = 2, d = 4, e = 7}, FindRoot[ Integrate[ Sqrt[(1 + c*x^2)/(1 + d*x^2)], {x, a, b}, GenerateConditions -> False] == e, {c, 2}]] // Chop {c -> 219.67294373109104} Quiet[With[{a = 1, b = 2, d = 4, e = 7}, FindRoot[ NIntegrate[ Sqrt[(1 + c*x^2)/(1 + d*x^2)], {x, a, b}] == e, {c, 2}]] // Chop] {c -> 219.67294373109013} Bob Hanlon ---- sathyapaladugu at gmail.com wrote: ============= Hi .My problem is this. I have integral \!\( \*SubsuperscriptBox[\(\[Integral]\), \(a\), \(b\)]\( SqrtBox[ FractionBox[\(1 + c\ \*SuperscriptBox[\(x\), \(2\)]\), \(1 + d\ \*SuperscriptBox[\(x\), \(2\)]\)]] \[DifferentialD]x\)\) = e I know a,b,d &e but need to find c how can i find c .Please help me