Question

Let g(x) = cos x², f(x) = √x , and α, β (α < β) be the roots of the quadratic equation 18x² – 9πx + π² = 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:

(1) 1/2(√3-1)  (2) 1/2(√3+1)  (3) 1/2(√3-√2)  (4) 1/2(√2-1)

Answer 1

Ans. [1]
Solution: