r(t)\displaystyle \vec{{r}}{\left({t}\right)} = <5(t+1)4,6te4t,6t6et7>\displaystyle <{5}{\left({t}+{1}\right)}^{{4}},{6}{t}{e}^{{-{4}{t}}},{6}{t}^{{6}}{e}^{{{t}^{{7}}}}>

Find 01r(t)dt\displaystyle {\int_{{0}}^{{1}}}\vec{{r}}{\left({t}\right)}{\left.{d}{t}\right.}


Give an exact result or to at least 4 decimal places.

<   ,   ,   >