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Integral Properties of Even and Odd Functions
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Let $$k$$ be a function such that $$k(x) - k(-x) = 6x$$ for all $$x$$. If $$\displaystyle\int_0^2 k(x)\,dx = 10$$, then $\displaystyle\int_{-2}^{2} k(x),dx =\ ?

Let $$k$$ be a function such that $$k(x) - k(-x) = 6x$$ for all $$x$$. If $$\displaystyle\int_0^2 k(x)\,dx = 10$$, then $$\displaystyle\int_{-2}^{2} k(x)\,dx =\ ?$$

A

$$\displaystyle 8$$

B

$$\displaystyle 12$$

C

$$\displaystyle 32$$

D

$$\displaystyle 20$$

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