Question

Evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) 2 (t + 2)(t − 6) dt

Answer 1

Do you mean 2(t+2)(t-6) dt?
if yes then,
expanding you have
2 { t² -4t -12} dt
2 ∫ t²-4t-12 dt
2 [ t³ -4t² -12t +c]