1
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LogLogPlot[
1.1183*3.086*10^-12 (c^(1/2))*2.598*10^-3 Integrate[
x^(1/2) Rationalize[
 Exp[-10.7*c/x] Sqrt[(1 - (125/1000)^2)*(1 - (2*4.18/125)^2) - (1 - (2 x/1000))^2], 15], {x, Rationalize[5.03], 
Rationalize[994.97]}], {c, 10^0, 10^6}, 
 PlotRange -> {{10^0, 10^4}, {10^-18, 10^-8}}]

it is giving a blank plot. The integral result is also puzzling. Is this the right way?

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5
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NIntegrate

instead of Integrate does the job:

LogLogPlot[1.1183*3.086*10^-12 (c^(1/2))*2.598*10^-3 NIntegrate[   x^(1/2) Exp[-10.7*
  c/x] Sqrt[(1 - (125/1000)^2)*(1 - (2*4.18/125)^2) - (1 - (2 x/
        1000))^2], {x, Rationalize[5.03], 
Rationalize[994.97]}], {c, 10^0, 10^6},  PlotRange -> {{10^0, 10^4}, {10^-18, 10^-8}}]

enter image description here

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  • $\begingroup$ WOW.Thanks a lot $\endgroup$ – user105697 Jun 19 at 7:36
  • $\begingroup$ Is there any way to write a general code for such functions and by varying different parameters, i can get different desired results? $\endgroup$ – user105697 Jun 25 at 3:15

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