Use part I of the Fundamental Theorem of Calculus to find the derivative of
$\displaystyle {f{{\left({x}\right)}}}={\int_{{-{2}}}^{{{x}}}}\sqrt{{{t}^{{3}}+{2}^{{3}}}}{\left.{d}{t}\right.}$

$\displaystyle {f}'{\left({x}\right)}$ = Preview Question 6