Find the exact value of .

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

Problem

Find the exact value of

\displaystyle \int_{0}^{1} \frac{4x+1}{x^{2}+5x+6}\,dx

. (a)

29\ln 3-18\ln 2

(b)

29\ln 2-18\ln 3

(c)

22\ln 2-7\ln 3

(d)

10\ln 3-13\ln 2