To determine

To interpret:

What does ∫06f(x)dx represent and what are the units of integral and what are the units of the integral?

Explanation

Let f(x) be theforce applied in moving the object from a to b; then work done in moving theobject is given by W= ∫abf(x)dx. Therefore,∫06f(x)dx represents work done in moving the book from x=0 to x=6

Also, as the unit of work done is Newton-meters or joules, the unit of ∫06f(x)dx is Newton-meters or joules.

Conclusion:

Therefore,∫06f(x)dx represents work done, and units of integral is Newton-meters or joules.