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NIntegrate and Plot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg95671] NIntegrate and Plot
  • From: dimitris <dimmechan at yahoo.com>
  • Date: Sat, 24 Jan 2009 06:20:41 -0500 (EST)

Hello.

I have the following function

fun[r_, t_] := -(((-3 + 4*t^2 + 8*t^4 - 8*t^3*Sqrt[1 + t^2])*
      BesselJ[1, r*t])/(3 + 14*t^2 + 24*t^4 + 16*t^6 -
           16*t^3*Sqrt[1 + t^2] - 16*t^5*Sqrt[1 + t^2]))

How can I achieve better performance in the following task

Plot[NIntegrate[fun[r, t], {t, 0, Infinity}], {r, 0, 3}]

Thank you very much.


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