A particle moves along the x-axis from `x=0` to `x=5m` under the influence of a force given by `F=7-2x+3x^(2)`. Find the work done in the process.

Explanation

Work done in moving the particle from `x=0` to `x=5m` will be
`W=underset(0)overset(5)intFds=underset(0)overset(5)int(7-2x+3x^(2))dx`
`=[7x-(2x^(2))/(2)+(3x^(3))/(3)]_(0)^(5)`
`=[7x-x^(2)+x^(3)]_(0)^(5)`
`=35-25+125=135J`