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For the following exercises, use a calculator to draw the region enclosed by the curve. Find the area $M$ and the centroid $(\overline{x}, \overline{y})$ for the given shapes. Use symmetry to help locate the center of mass whenever possible.Lens: $y=x^{2}$ and $y=x$

$M=\frac{1}{6}$ and $(\overline{x}, \overline{y})=\left(\frac{1}{2}, \frac{2}{5}\right)$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 6

Moments and Centers of Mass

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