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