Let a and b be real constants such that the function f defined by f(x)=\ llx²+3 x+a, x ≤ 1 b x+2, x>1. be differentiable on R. Then, the value of ∫₋₂² f(x) d x equals

Integral Calculus: JEE Main 2024 Mathematics question

JEE Main 2024 · 30 Jan, Evening shift · Q3477

JEE Main 202430 Jan, Evening shiftMathematicsHardIntegral Calculus369× since 2002

Let

a

and

b

be real constants such that the function

f

defined by

f(x)=\left\{\begin{array}{ll}x^2+3 x+a & , x \leq 1 \\ b x+2 & , x>1\end{array}\right.

be differentiable on

\mathbb{R}

. Then, the value of

\int_\limits{-2}^2 f(x) d x

equals

JEE Main 2024 Integral Calculus Question with Solution (30 Jan Evening shift, Q3477) | JEE Arc