Find the exact area of the region bounded by the curve

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

y=x\cos x

, the

x

-axis, and the vertical lines

x=0

and

x=\dfrac{\pi}{2}

. (a)

\dfrac{\pi}{2}

(b)

\dfrac{\pi}{2}+1

(c)

\dfrac{\pi}{2}-1

(d)

1-\dfrac{\pi}{2}