Integral of radical trigonometric functions revisited

Abstract

This article revisits an integral of radical trigonometric functions. It presents several methods of integration where the integrand takes the form $\sqrt{1\pm \sin x}$ or $\sqrt{1\pm \cos x}$. The integral has applications in Calculus where it appears as the length of cardioid represented in polar coordinates.

12 pages, 4 figures

References in corpus (1)

• Yet Another Table of Integrals