The graphs of and the -axis intersect at and

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

Problem

The graphs of

y=x\sin x

and the

x

-axis intersect at

x=0,\,\pi,\,2\pi,\,

and

3\pi

. Find the total area of the region enclosed by these graphs on

[0,3\pi]

. (a)

8\pi

(b)

10\pi

(c)

9\pi

(d)

6\pi