Determine the following integrals: 4.1 1 2xv/3x7 - 1 dx (3) 4.1.2 cos (5x) dx (2) 4.1.3 (3t-1) 612 -41 + 2 -dt (3) 4.1.4 (sin' x + cos' x) dx (2) The distance s, in metres, covered by a train on a straight track in the first two seconds is given by s = f 20(1-e" )di . Find s. (5) Determine the area enclosed by y =x +2x-3 and the x-axis between x =-3 and x =1.