Let g(x)=cosx^2,f(x)=\sqrtx and \alpha,\beta(\alpha < \beta) be the roots of the quadratic equation 18x^2-9\pix+\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: [Main 8 April 2018]

Correct Answer is : 12(√3−1)

Area Under The Curves Part 1

Section: Mathematics

Question : 81 of 100

Marks: +1, -0

Let g(x)=cosx2,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:

[Main 8 April 2018]

1
2
(√3−1)
1
2
(√3+1)
1
2
(√3−√2)
1
2
(√2−1)

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