1. An object situated at a distance x (in meters) from a fixed starting point moves on a rectilinear course under the action of a force F, defined byF(x)=6x26x (in newtons). What is the work done by this force to move the object from 2m to 5m.

2. For each of the flat surfaces, calculate its exact area (fractional answer) (useful to make a graphical representation).

a) The surface composed of all the surfaces bounded by the curve y=x31, the x-axis, the y-axis, and the line x=2.

b) The surface bounded by the curvey=2x , the x-axis and the line5y=4x12 using the vertical rectangles.

c) The surface bounded by the curvey=2x , the x-axis and the line5y=4x12 using the horizontal rectangles.