Difference between revisions of "Logarithmic integral"
From specialfunctionswiki
| Line 3: | Line 3: | ||
where $\log$ denotes the [[logarithm]]. The logarithmic integral is related to the [[exponential integral]] by the formula | where $\log$ denotes the [[logarithm]]. The logarithmic integral is related to the [[exponential integral]] by the formula | ||
$$\mathrm{li}(x)=\mathrm{Ei}( \log(x)).$$ | $$\mathrm{li}(x)=\mathrm{Ei}( \log(x)).$$ | ||
| + | |||
| + | [[File:Logarithmicintegral.png]] | ||
Revision as of 16:05, 9 October 2014
The logarithmic integral is $$\mathrm{li}(x) = \displaystyle\int_0^x \dfrac{dt}{\log(t)},$$ where $\log$ denotes the logarithm. The logarithmic integral is related to the exponential integral by the formula $$\mathrm{li}(x)=\mathrm{Ei}( \log(x)).$$
