Definite Integrals of Symmetric Functions
Let $$s$$ be a function that satisfies $$s(-x) = -s(x)$$ for all $$x$$. If $$\displaystyle\int_{-5}^{5} [s(x)]^2\,dx = 40$$, then $$\displaystyle\int_{0}^{5} [s(x)]^2\,dx =$$
A
$$\displaystyle 20$$
B
$$\displaystyle 80$$
C
$$\displaystyle 10$$
D
$$\displaystyle 40$$
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