Let be the region bounded by the curves and for

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

R

be the region bounded by the curves

y=x

and

y=x\sin x

for

0\le x\le\pi

. Which of the following equals the exact area of

R

? (a)

\dfrac{\pi^{2}}{2}+\pi

(b)

\dfrac{\pi^{2}}{2}-\dfrac{\pi}{2}

(c)

\dfrac{\pi^{2}}{2}-\pi

(d)

\dfrac{\pi^{2}}{2}