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Integration Using Even and Odd Functions

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Let kk be a function such that k(x)−k(−x)=6xk(x) - k(-x) = 6x for all xx. Given that ∫02k(x) dx=10\displaystyle\int_0^2 k(x)\,dx = 10, what is the value of ∫−22k(x) dx\displaystyle\int_{-2}^{2} k(x)\,dx?

A

32\displaystyle 32

B

20\displaystyle 20

C

8\displaystyle 8

D

12\displaystyle 12

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