Find $\displaystyle \int{{\sin{{\left({2}{x}\right)}}}^{{3}}{\left.{d}{x}\right.}}$
First use a Pythagorean identity to transform the integrand $\displaystyle {{\sin{{\left({2}{x}\right)}}}^{{3}}}$ into Preview Question 6 Part 1 of 2  
Then integrate $\displaystyle \int{{\sin{{\left({2}{x}\right)}}}^{{3}}{\left.{d}{x}\right.}}$ = Preview Question 6 Part 2 of 2   + C