To find the units of the integral, we multiply the units of the integrand and the units of the variable of integration. (a) The units of are (units of *s*)(units of *t*) = feet × pounds = foot-pounds. Unlike wombat-meters, foot-pounds are a valid unit of measurement. A foot-pound measures the amount of work it takes to move one pound a distance of one foot. (b) The units of are The shorter way to do this problem is to remember that when you integrate the rate of change of *s*, the units are the same as the units of *s*. |