[Step-by-Step] Figure 7.3.4 shows the region bounded by the x -axis and the graph of y=1/2 x^2 sin x, 0 ≤qq x ≤qq π. Use Formulas (42) and (43) (in
Question: Figure 7.3.4 shows the region bounded by the \(x\) -axis and the graph of \(y=\frac{1}{2} x^{2} \sin x, 0 \leqq x \leqq \pi\). Use Formulas (42) and (43) (in the endpapers)-which are derived by integration by parts -to find (a) the area of this region; (b) the volume obtained by revolving this region around the \(y\) -axis.
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