The profile of a decorative glass panel is modeled by the curve y=23x3\displaystyle y = \frac{2}{3}x^3y=32x3. The design requires two specific regions of the panel to be tinted.
Region 1 is bounded by the curve, the xxx-axis, and the vertical lines x=−3x = -3x=−3 and x=−1x = -1x=−1.
Region 2 is bounded by the curve, the xxx-axis, and the vertical lines x=0x = 0x=0 and x=2x = 2x=2.
Find the total area of the tinted regions.
10.67
13.33
16.00
18.67
