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`f(x)` is continuous function for all real values of `x` and satisfies `int_0^xf(t)dt=int_x^1t^2f(t)dt+(x^(16))/8+(x^6)/3+adot` Then the value of `a` is equal to: (a)`-1/(24)` (b) `(17)/(168)` (c) `1/7` (d) `-(167)/(840)`

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