Estimate, to the nearest hundredth, the value of…

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Estimate, to the nearest hundredth, the value of

\displaystyle \int_{4}^{8} \frac{3x+2}{x^{2}-x-6}\,dx

. (a)

2.37

(b)

5.38

(c)

3.95

(d) The integral diverges because of a vertical asymptote on

(4,8)