1. For each of the flat surfaces, calculate its exact area (fractional answer).

a) The surface consists 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.

2. 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.