Let a and b be real constants such that the function f defined by… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 30 January, Shift 2Differentiability

Let $a$ and $b$ be real constants such that the function $f$ defined by $f(x)=\begin{cases}x^2+3x+a, & x\leq 1\\ bx+2, & x>1\end{cases}$ is differentiable on $\mathbb{R}$ . Then, the value of $\int_{-2}^{2} f(x) \, dx$ equals:

A
$15$
B
$\frac{19}{6}$
C
$21$
D
$17$

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