Evaluate the integral. Enter your answer as a fraction.
∫01x2(x3−3)4dx\displaystyle {\int_{{{0}}}^{{{1}}}}{x}^{{{2}}}{\left({x}^{{{3}}}-{3}\right)}^{{{4}}}{\left.{d}{x}\right.}∫01x2(x3−3)4dx
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