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- #1

So can I use the even function rule to get:

\(\displaystyle 2 \int^2_0 6x - x^2 dx\)

I just need someone to check my work.

\(\displaystyle 2 [ 3x^2 - \frac{1}{3}x^3 ] | 2, 0\)

\(\displaystyle

2 [ 12 - \frac{8}{3}]\)

\(\displaystyle 2 [ \frac{36}{3} - \frac{8}{3} ]\)

\(\displaystyle 2 * 28/3\)

= \(\displaystyle \frac{56}{3}\)

is this correct?