Question

When a particle is located x feet from the origin, a force of (3x²) acts on it. The work done by moving the particle from (x = 1) to (x = 3) is given by (∫₁³ 3x² ,dx).
a) (32) ft-lb
b) (48) ft-lb
c) (64) ft-lb
d) (80) ft-lb