Question: Let f(x) be a continuous function for which we know f(1) = 1, f(4) = 4, f'(1) = 4, and f'(4) = 16. Find

Let f(x) be a continuous function for which we know f(1) = 1, f(4) = 4, f'(1) = 4, and f'(4) = 16. Find the value of the definite integral gi (a) [* (f(x))f'(x) (f(x)) + 1 dx Note: as always, do not round your answers. [* (f(x)) f'(x) (f(x)) + 1 dz

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