Determine the following integrals: 4.1.1 (cos 2x + sinx) dx (2) x+1 4.1.2 dx (3) x + 2x+1 4.1.3 "(3x) + +1 dx (3) X A cyclist pedals along a straight road with velocity v(/ ) = 2/-81 +6 km/h, for 3 hours. The velocity, v(/ ) , is measured in km/h and the time , / , 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 )