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Re: solve an integration equation


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




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