Recall that the total distance traveled from time ₁ to time ₂ is given by the following.

∫₂₁ |()|= total distance traveled

In a previous step we determined that () = ² + 4 - 12. We wish to find the total distance traveled over the interval 0 ≤ ≤ 5.

Therefore, we must calculate the following.
∫⁵₀ ___________