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Function Symmetry and Definite Integrals

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Let ww be a function such that w(x)+w(−x)=8w(x) + w(-x) = 8 for all xx. If ∫03w(x) dx=21\displaystyle\int_0^3 w(x)\,dx = 21, then ∫−33w(x) dx=\displaystyle\int_{-3}^{3} w(x)\,dx =

A

21\displaystyle 21

B

24\displaystyle 24

C

42\displaystyle 42

D

48\displaystyle 48

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