Let g(x)=cos x2 , f(x) = √x, and α, β(α < β) be the roots of the quadratic equation 18x2 - 9pix + pi2 = 0. Then, the area (in sq units) bounded by the curve y = (gof) (x) and the lines x = α, x = β and y = 0, is
(a) (√3 - 1)/2
(b) (√3 + 1)/2
(c) (√3 - √2)/2
(d) (√2 - 1)/2
