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Let f:R→R be a function as f(x)=(x-1)(x+...

`Let f:R→R be a function as f(x)=(x-1)(x+2)(x-3)(x-6)-100. If g(x) is a polynomial of degree ≤3 such that ∫ g(x) f(x) dx does not contain any logarithm function and g(-2)=10. Then

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