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Let g(x) = cosx^(2), f(x) = sqrt(x), a...

Let `g(x) = cosx^(2), f(x) = sqrt(x)`, and `alpha, beta (alpha lt beta)` be the roots of the quadratic equation `18x^(2) -9pix + pi^(2) = 0`. Then the area (in sq. units) bounded by the curve `y = (gof) (x)` and the lines `x = alpha,x = beta` and `y = 0` is

A

`1/2(sqrt(2)-1)`

B

`1/2(sqrt(3)-1)`

C

`1/2(sqrt(3) +1)`

D

`1/2(sqrt(3)-sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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