how many meters will it travel

Question

A particle that moves along a straight line has velocity meters per second after t seconds. How many meters will it travel during the first t seconds (from time=0 to time=t)? 

Answer 1

s(t) =∫₀^t u²e^-3udu= [-u²/3 −2u/9−2/27]e^-3u |₀^t

s(t) = 2/27 −[t²/3 +2t/9+2/27]e^-3t