For the integral 0112x5cos(2x6+4)dx\displaystyle {\int_{{0}}^{{1}}}{12}{x}^{{5}}{\cos{{\left({2}{x}^{{6}}+{4}\right)}}}{\left.{d}{x}\right.}, we can choose an appropriate function u\displaystyle {u} so the integral can be rewritten as abcos(u)du\displaystyle {\int_{{a}}^{{b}}}{\cos{{\left({u}\right)}}}{d}{u}.

What are the new limits on this integral?

a=\displaystyle {a}=  

b=\displaystyle {b}=  

Using these values, determine the value of the integral.

Answer: