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B. Yermukanova

Publications and source records attributed to B. Yermukanova.

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Integral of radical trigonometric functions revisited

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.

math.HO