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Let f(x) be a cubic polynomial with lead...

Let `f(x)` be a cubic polynomial with leading coefficient unity such that `f(0)=1` and all the roots of `f"(x)=0` are also roots of `f(x)=0`. If `int f(x) dx =g(x) + C`, where `g(0) = 1/4`and C is constant of integration, then g(3) - g(1) is equal to

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