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f(x)=x^3+1-2x int 0^x g(t)dt and g(x)=x-...

`f(x)=x^3+1-2x int _0^x g(t)dt` and `g(x)=x-int_0^1 f(t)dt`. Then yhe value of `int_0^1f(t)dt` lies in the interval

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