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Explain the work done by a varible force...

Explain the work done by a varible force.

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Since a constant force is very rarely encountered, let us consider a variable force F(x). A graph of F(x) v/s x may be plotted.
Area ABCD = `DeltaA=F(x)Deltax`
For `Deltaxrarr0`,
Work done by a force
`W=underset(Deltaxrarr0)Limunderset(x_(i))overset(x_(f))sumF(x)Deltax`
i.e., `W=underset(x_(i))overset(x_(f))intF(x)dx`
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