JEE Advance - Mathematics (1992 - No. 17)
A cubic $$f(x)$$ vanishes at $$x=2$$ and has relative minimum / maximum at $$x=-1$$ and $$x = {1 \over 3}$$ if $$\int\limits_{ - 1}^1 {f\,\,dx = {{14} \over 3}} $$, find the cubic $$f(x)$$.
x^3 + x^2 - x - 2
x^3 + x^2 - x + 2
x^3 - x^2 + x + 2
x^3 - x^2 - x + 2
x^3 + x^2 + x + 2
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