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In mathematics, the logarithmic integral can refer to
- The logarithmic integral function, defined as
- <math>{\rm li}(x) = \int_0^x \frac{dt}{\ln t}</math>
- The offset logarithmic integral, defined as
- <math>{\rm Li}(x) = {\rm li}(x)-{\rm li}(2) = \int_2^x \frac{dt}{\ln t}</math>
- The logarithmic integral defined as
- <math>\int_{-\infty}^\infty \frac{M(t)}{1+t^2}dt</math>
and discussed in Paul Koosis, The Logarithmic Integral, volumes I and II, Cambridge University Press, second edition, 1998.
