The velocity, v(t), of a particle, in inches per second, at time t seconds is v(t) = 4t3 + 3t2 + 2t + 1. What distance does the particle travel over the interval 0 ≤ t ≤ 1?

The particle traveled 4 inches over the interval.

Step-by-step explanation:

What distance does the particle travel over the interval 0 ≤ t ≤ 1?

The distance is the integral of the velocity.

So

We have that:

So

Which is:

The particle traveled 4 inches over the interval.

the answer will be b x² +x-1

step-by-step explanation: