JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

f(x)=x^2, g(x)=\cos x

and

h(x)=f(g(x))

. Area bounded by

y=h(x)

and

y

-axis between

x=x_1

and

x=x_2

, where

x_1

and

x_2

are roots of the equation

18 x^2-9 \pi x+\pi^2=0

, is equal to

View answer and explanation

Correct option: A

\frac{\pi}{12}

sq. units

Option A is correct because it represents the area calculated by integrating cos²(x) from π/6 to π/3.

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