Suppose that you push a book across a 6-meter-long table by exerting a force f(x) at each point from x=0 to x=6. What/ does 06f(x)dx represent? If f(x) is measured in newtons, what are the units for the integral?
What does represent and what are the units of integral and what are the units of the integral?
Let be theforce applied in moving the object from to ; then work done in moving theobject is given by Therefore, represents work done in moving the book from to
Also, as the unit of work done is Newton-meters or joules, the unit of is Newton-meters or joules.
Therefore, represents work done, and units of integral is Newton-meters or joules.