Most recent change of LogarithmicIntegral

Edit made on January 13, 2013 by ColinWright at 17:25:13

Deleted text in red / Inserted text in green

The function EQN:\text{Li}(x)=\int_2^x~\frac{dx}{\log~x} EQN:\text{Li}(x)=\int_2^x\frac{dx}{\log~x} is called the "logarithmic integral".
According to the Prime Number Theorem, it is approximately equal to the number of primes below /x./
The function EQN:\text{li}(x)=\int_0^x~\frac{dx}{\log~x} EQN:\text{li}(x)=\int_0^x\frac{dx}{\log~x} is also called the logarithmic integral;
the two functions differ by a constant.

(Since the definition of EQN:\text{li}(x) involves integrating through a singularity,
some care is needed in interpreting the definition.)