Consider an object moving along a straight line with velocity given by
\[ v(t) = 12-3t \]
for
\(0\leq t\leq 6\).
Select the expression that represents the total distance the object travels on the interval \([0,6]\).
\(\int _0^6(12-3t)\d t\) \(\int _0^6(2t-12)\d t\) \(\int _0^4(12-3t)\d t - \int _4^6(3t-12)\d t\) \(\int _0^4(12-3t)\d t + \int _4^6(3t-12)\d t\) None of the above answers