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Intergrate This!
Posted:
Oct 27, 1996 1:20 AM


I'm having trouble evaluating this integral.
x / li(x) =  dt / logt (Pardon the Ascii Art!) / 2
Where the above represents the area under the curve y = 1 / logt, and above the taxis from t = 2 to t = x).
(I haven't yet learned how to deal with this type of integral)
A demonstration of x = 100 would be nice (or choose any number you wish).
As you may be aware, the function li(x) is a very good approximation of the number of primes not exceeding x. Is there a better approximation (not the x/ln(x) one)?
Thanks, Scott.



