The sum of absolute maximum and absolute minimum values of the function f(x) = |2x² + 3x - 2| + sin x cos x in the interval [0, 1] is:

(B) 3 + 1/2(1 + 2 cos (1)) sin (1)

(A) 3 + (sin (1) cos ²(1/2))/2

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Morning shift · Q2665

JEE Main 202224 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The sum of absolute maximum and absolute minimum values of the function

f(x) = |2{x^2} + 3x - 2| + \sin x\cos x

in the interval [0, 1] is :

JEE Main 2022 · 24 Jun, Morning shift · Q2665

JEE Main 202224 Jun, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The sum of absolute maximum and absolute minimum values of the function

f(x) = |2{x^2} + 3x - 2| + \sin x\cos x

in the interval [0, 1] is :