Elementary evaluation of Fresnel's integrals
We evaluate the Fresnel integrals by using the Leibniz rule only on a finite interval.
Estimates for the arctangent function related to Shafer's inequality
The aim of this article is to give new refinements and sharpenings of Shafer's inequality involving the arctangent function. These are obtained by means of a change of variables, which makes the computations much easier than the classical approach.