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Fundamental Theorem of Calculus With a Table

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The function ff has a continuous derivative on the closed interval [0,4][0, 4]. The table below gives selected values of f(x)f(x) and f′(x)f'(x).

xx 0 1 2 3
f(x)f(x) 5 2 3 6
f′(x)f'(x) -3 1 3 4

If ∫04f′(t) dt=8\displaystyle\int_0^4 f'(t) \, dt = 8, what is the value of f(4)f(4)?

A

10

B

5

C

3

D

13

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