Answer
20/3
Work Step by Step
Integrate with respect to x, and then plug in the limits:
$=\frac{1}{3}x^3-x^2+3x$ with limits from -1 to 1
$=\frac{1}{3}(1)^3-1+3-\frac{1}{3}(-1)^3+(-1)^2-3(-1)=1/3+2+1/3+1+3=20/3$
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