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MathGroup Archive 2005

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NSolve Vs. Elliptic Integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg62471] NSolve Vs. Elliptic Integral
  • From: "nilaakash at gmail.com" <nilaakash at gmail.com>
  • Date: Fri, 25 Nov 2005 02:25:24 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear Friends,
                       I am facing a problem to NSolve an  Elliptic
Integral like that.

f[x_] := Sqrt[(1 +
          0.176*Sin[m]^2*Sin[x]^2)*(1 + 1.018*Sin[m]^2*Sin[x]^2)/(1 -
            Sin[m]^2*Sin[x]^2)]

g[m] = 0.159*Sqrt[1/(-9*10^(-6) + Sin[m]^2)];

NSolve[NIntegrate[f[x], {x, ArcSin[0.003/Sin[m]], Pi/2}] == g[m], m]


Here I want to get an "m" value such that integration value = g[m].

This NSolve shows problem, please could any body tell me how to get
exact m value.

Thanks.

nilaakash


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