Evaluate the definite integral .

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

Problem

Evaluate the definite integral

\displaystyle \int_{1}^{2}\left(\frac{4}{x}-\frac{4}{x+1}\right)\,dx

. (a)

2\ln\left(\dfrac{4}{3}\right)

(b)

4\ln\left(\dfrac{4}{3}\right)

(c)

4\ln\left(\dfrac{3}{2}\right)

(d)

2\ln\left(\dfrac{3}{2}\right)