For the integral $\displaystyle {\int_{{{6}}}^{{{7}}}}{2}{{\sin}^{{{4}}}{\left({x}\right)}}{\cos{{\left({x}\right)}}}{\left.{d}{x}\right.}$, if we use the substitution $\displaystyle {u}={\sin{{\left({x}\right)}}}$, what will be the resulting integral?

$\displaystyle {\int_{{a}}^{{b}}}$Preview Question 6 Part 1 of 3   $\displaystyle {d}{u}$

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

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