Question

The force applied against a moving object travelling on a linear path is given by `F(x)=x^2+x`. How much work would it take to move the object over `x in [1,4 ]`?

Answer 1

28.5 units

Explanation:

The work done in the one dimensional case is given by

`int_i^f F(x)dx= int_1^4(x^2+x)dx = (x^3/3+c^2/2)_1^4`
`= (4^3/3+4^2/2)-(1^3/3+1^2/2) = 28.5`