Velocity is the derivative of distance, so integrate:
[tex]v = 3t ^{2} - 24t + 36[/tex]
And input 8 for t.
Find
[tex]\int\limits_{0}^{8} (3t^2 - 24t + 36) dt
\\
\\t^3|^8_0-12t^2|_0^8+36t|_0^8
\\
\\8^3-0^3-12(8^2-0^2)+36(8-0)
\\512-768+288
\\32
[/tex]
