Use a Line Integral to Find the Area Enclosed by the X-Axis

Multiple Choice

Use a line integral to find the area enclosed by the x-axis and one arch of the cycloid given parametrically by the equations x(t) = 3(t - sin(t) ) , y(t) =3(1 - cos(t) ) , 0 $\le$ t $\le$ 2 $\pi$ .

A) 36 $\pi$
B) 18 $\pi$
C) 27 $\pi$
D) 54 $\pi$
E) 9 $\pi$