?Net area from graphs The accompanying figure shows four regions bounded by the graph of
Chapter 14, Problem 332(choose chapter or problem)
Net area from graphs The accompanying figure shows four regions bounded by the graph of \(y=x \sin x:\ R_1,\ R_2,\ R_3,\) and \(R_4\), whose areas are \(1,\ \pi-1,\ \pi+1\), and \(2\pi-1\), respectively. (We verify these results later in the text.) Use this information to evaluate the following integrals.
\(\int _0^{2\pi}\ x \sin x\ dx\)
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