About Work question

Question

The force measured in newtons on a particle is described by  at a point  meters along the -axis. Find the work done in moving the particle from the origin to a distance of 2 meters.

Answer 1

By definition

The force in the direction of the displacement so the sign is positive

W = Integrate (5x^4+2)dx

The integral boundary conditions are from 0 to 2

W = (5/5) * (2)^5 + 2(2) = 36 Joules of work