Function Symmetry and Definite Integrals
Let $$w$$ be a function such that $$w(x) + w(-x) = 8$$ for all $$x$$. If $$\displaystyle\int_0^3 w(x)\,dx = 21$$, then $$\displaystyle\int_{-3}^{3} w(x)\,dx =$$
A
$$\displaystyle 21$$
B
$$\displaystyle 24$$
C
$$\displaystyle 42$$
D
$$\displaystyle 48$$
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