Let $a$ and $b$ be real constants such that the function $f$ defined by $f(x)=\left\{\begin{array}{ll}x^2+3 x+a & , x \leq 1 \ b x+2 & , x1\end{array}\right.$ be differentiable on $R$. Then, the value of $\int_{-2}^2 f(x) d x$ equals [JEE Main 2024, 30 Jan (Shift 2)]

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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 $R$. Then, the value of $\int_{-2}^2 f(x) d x$ equals [JEE Main 2024, 30 Jan (Shift 2)]

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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 &…

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