Solve the Problem $\mathrm { m } / \mathrm { s }$

Multiple Choice

Solve the problem.
-A certain object moves in such a way that its velocity (in $\mathrm { m } / \mathrm { s }$ ) after time $t$ (in s) is given by $\mathrm { v } = \mathrm { t } ^ { 2 } + 2 \mathrm { t } + 12$ . Find the distance traveled during the first four seconds by evaluating $\int _ { 0 } ^ { 4 } \left( t ^ { 2 } + 2 t + 12 \right)$ dt. Round to the nearest tenth.

A) $64.0 \mathrm {~m}$
B) $85.3 \mathrm {~m}$
C) $37.3 \mathrm {~m}$
D) $36.0 \mathrm {~m}$