For the integral $\displaystyle {\int_{{0}}^{{2}}}{30}{x}^{{4}}\sqrt{{{6}{x}^{{5}}+{3}}}{\left.{d}{x}\right.}$, we can choose an appropriate function $\displaystyle {u}$ so the integral can be rewritten as $\displaystyle {\int_{{a}}^{{b}}}\sqrt{{{u}}}{d}{u}$.

What are the new limits on this integral?

$\displaystyle {a}=$Preview Question 6 Part 1 of 2  

$\displaystyle {b}=$Preview Question 6 Part 2 of 2