An object, constrained to move along the x-axis is acted upon by a force of F(x) where a=5N/m , b=-2N/m.

F(x)= ax + bx²

An object is observed to proceed directly from x= 1m to x=3.0m. How much work was done by the object by the force? Does the process of integration take into account the fact that the force F(x) changes sign in the interval