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arXiv · 1606.08544

Integral of radical trigonometric functions revisited

N. Karjanto·B. Yermukanova
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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.

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N. Karjanto, B. Yermukanova. 2016-06-28. Integral of radical trigonometric functions revisited. https://arxiv.org/abs/1606.08544

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