Researchers often use logarithmic integrals when estimating the distribution of prime numbers.

To estimate the number of primes up to a large x, many analytic number theorists compare π(x) to the logarithmic integral.

The student struggled to evaluate the integral involving the logarithmic trigonometric function, which required a substitution.

In the advanced calculus seminar, we analyzed several logarithmic trigonometric functions to understand their asymptotic behavior.