Vipul: Created page with '{{real-valued function}} ==Definition== For $x$ a positive real number, the '''logarithmic integral''' at $x$ , denoted $\operatorname{li}(x)$ , ...'

2009-05-06T18:36:43Z

Created page with '{{real-valued function}} ==Definition== For <math>x</math> a positive real number, the '''logarithmic integral''' at <math>x</math>, denoted <math>\operatorname{li}(x)</math>, ...'

New page

{{real-valued function}}

==Definition==

For <math>x</math> a positive real number, the '''logarithmic integral''' at <math>x</math>, denoted <math>\operatorname{li}(x)</math>, is defined as:

<math>\int_0^x \frac{dt}{\log t}</math>.

Note that there is no elementary function representing the indefinite integral, and hence, the logarithmic integral function is not expressible in terms of elementary functions.

Logarithmic integral function - Revision history

Vipul: Created page with '{{real-valued function}} ==Definition== For x a positive real number, the '''logarithmic integral''' at x, denoted \operatorname{li}(x), ...'

Vipul: Created page with '{{real-valued function}} ==Definition== For $x$ a positive real number, the '''logarithmic integral''' at $x$ , denoted $\operatorname{li}(x)$ , ...'