f(x) is a polynomial of degree 4, vanishes at x = -1 and has local minimum/maximum at x = 1, x = 2, and x = 3. If, -2∫2 f(x) dx = -1348/15. Then what is the value of f(x)?

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f(x) is a polynomial of degree 4, vanishes at x = -1 and has local minimum/maximum at x = 1, x = 2, and x = 3. If, <sub>-2</sub>∫<sup>2</sup> f(x) dx = -1348/15. Then what is the value of f(x)?