Answer
$= \frac{1}{4}$

Work Step by Step
$\int^{1}_0 (x^{3}-0)dx$
$\int^{1}_0 x^{3}dx$
$= \frac{x^{4}}{4} |^{1}_0$
$= [\frac{1^{4}}{4}] - [\frac{0^{4}}{4}]$
$= [\frac{1}{4}] - [\frac{0}{4}]$
$= [\frac{1}{4}] -0$
$= \frac{1}{4}$
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