Evaluate the following definite intergral. If necessary, round your final answer to three decimal places.

56(8+6t2) dt\displaystyle {\int_{{-{{5}}}}^{{6}}}{\left(-{8}+{6}{t}^{{2}}\right)}\ {\left.{d}{t}\right.}

56(8+6t2) dt=\displaystyle {\int_{{-{{5}}}}^{{6}}}{\left(-{8}+{6}{t}^{{2}}\right)}\ {\left.{d}{t}\right.}=