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Integral of radical trigonometric functions revisited. (English)
Math. Enthus. 13, No. 3, 243-254 (2016).
Summary: 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.
Classification: I50