Determine the value of the definite integral .

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

Problem

Determine the value of the definite integral

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

. (a)

\dfrac{e^{2}-1}{4}

(b)

\dfrac{e^{2}}{4}

(c)

\dfrac{e^{2}+1}{4}

(d)

\dfrac{e^{2}+1}{2}