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Graphical Interpretation: Multi-shape Integration

APCALC-3ACDD6

Given the graph of $f(x)$ above (consisting of a triangle and semicircle), what is the $\int_{-4}^4{f(x)dx}$?

A

$4\pi -8$

B

$4\pi +8$

C

$8\pi -8$

D

$8\pi +8$