Let g(x) = cosx², f(x) = x and α,β (α < β) be the roots of the quadratic equation 18x² - 9 π x + π ² = 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:

Integral Calculus: JEE Main 2018 Mathematics question

JEE Main 2018 · Session, Shift 1 · Q2879

JEE Main 2018Session, Shift 1MathematicsHardIntegral Calculus369× since 2002

Let g(x) = cosx², f(x) =

\sqrt x

and

\alpha ,\beta \left( {\alpha < \beta } \right)

be the roots of the quadratic equation 18x² - 9

\pi

x +

{\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 :

JEE Main 2018 Integral Calculus Question with Solution (Session Shift 1, Q2879) | JEE Arc