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JEE Math Practice Question

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

  1. A.21
  2. B.19/6
  3. C.17
  4. D.15/6

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