For the integral $\displaystyle {\int_{{1}}^{{2}}}{30}{x}^{{4}}{\sin{{\left({6}{x}^{{5}}+{2}\right)}}}{\left.{d}{x}\right.}$, we can choose an appropriate function $\displaystyle {u}$ so the integral can be rewritten as $\displaystyle {\int_{{a}}^{{b}}}{\sin{{\left({u}\right)}}}{d}{u}$.

What are the new limits on this integral?

$\displaystyle {a}=$Preview Question 6 Part 1 of 3  

$\displaystyle {b}=$Preview Question 6 Part 2 of 3  

Using these values, determine the value of the integral.

Answer: Preview Question 6 Part 3 of 3