Question

The force applied against a moving object travelling on a linear path is given by `F(x)=xe^x`. How much work would it take to move the object over `x in [2, 3]`?

Answer 1

`W=2e^3-e^2`

Explanation:

`W=int_a^b F(x)*d x`
`W=int_2^3 x e^x d x`
`W=[e^x(x-1)]_2^3`
`W=[e^3(3-1)]-[e^2(2-1)]`
`W=2e^3-e^2`