For in the interval

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

For xx in the interval [0,2π][0,2\pi], consider the trigonometric function y=2sin⁡xy=2\sin x. (i) Find all values of xx in [0,2π][0,2\pi] at which the curve meets the xx-axis. (ii) Calculate the exact numerical value of the area enclosed between the curve y=2sin⁡xy=2\sin x and the xx-axis over the interval [0,2π][0,2\pi].

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