Chapter 9, Problem 6P

When a variable force is applied to an object, it travels a distance of 5 m. The total work done on the object is given by

$W={\displaystyle \underset{0}{\overset{l}{\int }}f\left(x\right)dx}\text{ N-m}$ Determine the work done if the force is given by

1. $f\left(x\right)=2x^4+3x^2+4x-1\text{N}$ $f\left(x\right)=10\sin \left(\frac{\pi }{10}x\right)\text{cos}\left(\frac{\pi }{10}x\right)\text{N}$

Hint: Use the double angle formula.