Evaluate the following integrals D [ (x + 3x+ 1) dx 2 ) (x* + x3 - 4x2 + 6) dx -2 3) [ (212 - 12x + 13) da 1) [ (x + 3x7 - 2) dx 5) dx 6) dx X 6 7) 2cos x dx 8 dx Suppose that a particle moves along a straight line with velocity defined by v(t) = t 2 - 3t - 18, where 0 s t s 6 (in meters per second). Find the displacement at time t and the total distance traveled up to t = 6