Texts:
a) A spring of natural length 5 ft has a spring constant k = 70 lb/ft. Set up, but do not evaluate, an integral to find the work done in stretching the spring from 6 ft to 8 ft long.
b) A force of 20 pounds stretches a spring 9 inches in an exercise machine. Set up, but do not evaluate, an integral to find the work done in stretching the spring 12 inches from its natural length.
c) A force of 10 lb is required to hold a spring stretched 1 ft beyond its natural length. Set up, but do not evaluate, an integral to find the work done in stretching it from its natural length to 1 ft beyond its natural length.