A cubic function f(x) vanishes at x=-2 a...

A cubic function f(x) vanishes at `x=-2` and has relative maximum/minimum at `x=-1` and `x=(1)/(3)`. If `int_(-1)^(1)f(x) dx=(14)/(3)`, find the cubic function f(x).

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The correct Answer is:

`x^(3)+x^(2)-x+2`

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