Fundamental Theorem of Calculus With a Table
The function $$f$$ has a continuous derivative on the closed interval $$[0, 4]$$. The table below gives selected values of $$f(x)$$ and $$f'(x)$$.
| $$x$$ | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| $$f(x)$$ | 5 | 2 | 3 | 6 |
| $$f'(x)$$ | -3 | 1 | 3 | 4 |
If $$\displaystyle\int_0^4 f'(t) \, dt = 8$$, what is the value of $$f(4)$$?
A
10
B
5
C
3
D
13
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