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Topic: Intergrate This!
Replies: 1   Last Post: Oct 29, 1996 9:47 AM

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Scott Phung

Posts: 32
Registered: 12/6/04
Intergrate This!
Posted: Oct 27, 1996 1:20 AM
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I'm having trouble evaluating this integral.

li(x) = | dt / logt (Pardon the Ascii Art!)

Where the above represents the area under the curve y = 1 / logt, and
above the t-axis 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)?


Date Subject Author
Read Intergrate This!
Scott Phung
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