An Arcsine Area

★ 8/10trigonometry calculus Absolute Value Symmetry

Problem

Let $f(x) = \arcsin(\sin x)$ . Find the area of the region enclosed by the graph of

g(x) = x\cdot|f(x)|, \qquad x \in [0, 10\pi],

and the $x$ -axis.

Answer

Solution

Difficulty	8/10
Topics	trigonometry, calculus, Absolute Value, Symmetry

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