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Let a and b be real constants such that the function f defined by f(x) = ⎪ ⎩ ⎪ ⎨ ⎧ > + ≤ + + 1 x , 2 bx 1 x , a x 3 x 2 be differentiable on R. Then, the value of ∫ − 2 2 dx ) x ( f equals

1. 6 15
2. 17
3. 21
4. 6 19

Correct answer: 17

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