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Applying the Fundamental Theorem of Calculus

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The function gg has a derivative g′g' that is continuous on the closed interval [1,5][1,5]. The table below provides selected values of g(x)g(x) and g′(x)g'(x).

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

If ∫15g′(t) dt=15\int_{1}^{5} g'(t) \,dt = 15, what is the value of g(5)g(5)?

A

12

B

15

C

8

D

18

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