QUESTION 4 4.1 Determine the following integrals: N 4.1.1 (cos 2x + sinx) dr (2) 4.1.2 dx (3) Vx + 2r +1 4.1.3 (3) O 4.2 A cyclist pedals along a straight road with velocity v(r) = 2/" -8r + 6 km/h, for 3 hours. The velocity. v(r). is measured in km/h and the time , f , in hours. 4.2.1 Sketch the velocity function over the 3 hours. When does the cyclist move in a positive direction and when in a negative direction? (5) 4.2.2 Use integration to find the total distance the cyclist traveled. (5) [18] TOTAL: 80 M