A position dependent force
`F=(7-2x+3x^(2))N`,
acts on a small body of mass 2kg and displaces it from `x=0` to `x=5`m. Work done in joule is

Explanation

Work done, `W=int_(x_(1))^(x_(2))F dx=int_(0)^(5)(7-2x+3x^(2))dx`
Here, the body changes its position from x=0 to x=5
`=[7x-(2x^(2))/(2)+(3x^(3))/(3)]_(0)^(5)=[7(5)-(5)^(2)+(5)^(3)-0]=135 J`