Find the area of the region enclosed by the graphs of and .

Question

Find the area of the region enclosed by the graphs of  and  . ​

Quizplus · Accepted Answer

The two graphs intersect at $x=-2$ and $x=3$, forming two separate regions. By integrating the function $11eb0d3b_989d_ec18_9790_cb2e12d82840_TB1243_11 - 11eb0d3b_989e_1329_9790_b31ca88e0e70_TB1243_11$ from $-2$ to $3$, we obtain the area of the region between the two graphs as $\int_{-2}^{3} (11x^2 - 7x - 34) dx = \left[ \frac{11}{3}x^3 - \frac{7}{2}x^2 - 34x ight]_{-2}^3 = \frac{147}{2}$. Thus, the correct answer is $\boxed{	extbf{(C)}\ 11eb0d3b_989e_132c_9790_95369a2eb9bb_TB1243_11}$.

Find the Area of the Region Enclosed by the Graphs