The integral is: li(x) - x / log(x) See also: https://en.wikipedia.org/wiki/Logarithmic_integral_function https://en.wikipedia.org/wiki/Logarithmic_integral_f

The integral is: li(x) - x / log(x) See also: https://en.wikipedia.org/wiki/Logarithmic_integral_function https://en.wikipedia.org/wiki/Logarithmic_integral_function Edit: It looks like you are right, the function is unbounded.