By graph, I assume you mean the graph of the integrand 0.00159155/(x^2 + 0.000025^2) from x == -10 to x == 10:
Plot[0.00159155/(x^2 + 0.000025^2), {x, -10,10}]
I'm not sure what it means to "plot a...interval table." Do you just want a table of intervals NIntegrate used, or do you want to mark the intervals on on the plot in some way?
The 0.2 in {x, -10, 10, 0.2} will be interpreted by NIntegrate as a point to be treated as a singularity in the integrand. Did you mean it in the same way it is used in Table, to indicate the difference between successive steps?
