A Symmetry Axis from an Integral

★ 6/10trigonometry calculus Trigonometric Identities Symmetry

Problem

Let $f(x)=\sin(x-\varphi)$ , and suppose $\displaystyle\int_0^{2\pi/3}f(x)\,\mathrm dx=0$ . Find an axis of symmetry of the graph of $f(x)$ .

Answer

Solution

Difficulty	6/10
Topics	trigonometry, calculus, Trigonometric Identities, Symmetry

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