Answer
1
Work Step by Step
Integrate with respect to x and plug in limits to evaluate:
$=\frac{1}{3}x^3+\frac{2}{3}x^{3/2}$ with limits from 0 to 1
$=[\frac{1}{3}(1)^3+\frac{2}{3}(1)^{2/3}]-0=1$
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