A shortcut for evaluating some log integrals from products and limits

F. M. S. Lima

In this short paper, I introduce an elementary method for exactly evaluating the definite integrals ${\int }_0^{\pi }\ln (\sin \theta )d\theta$, ${\int }_0^{\pi /2}\ln (\sin \theta )d\theta$, $\int_0^{π/2}…