the velocity of a particle moving along the x axis is v(t)=t^2+2t+1, with t measured in minutes and v(t) measured in feet per minute to the nearest foot find the total distance traveled by the particle from t=0 to t=2 minutes

so, I took the integral of the equation so from 0 to 2 of t^2+2t+1 dt
I got 8.6666 or 8 2/3 so my answer would be 9 if that's rounded to the nearest foot.

1 answer

Yes, looks good.