Find the exact value of .

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

Problem

Find the exact value of

\displaystyle \int_{1}^{e} \frac{\ln x}{x}\,dx

. (a)

-\dfrac{1}{2}

(b)

\dfrac{1}{e}

(c)

\dfrac{1}{2}

(d) 1