3.5: Applications of Integrals
Applications of integrals are plentiful and allow one to find calculations to complex functions. With rules of integrals, we can find the area under a curve, and by expanding this rule, we can find the volume between curves. One example is determining the amount of work required to lift a bucket attached to a cable. Finding distance, velocity, and acceleration of an object being shot in the area is another application of integrals.
Subunit 3.5 explores the many applications of integrals. These include the area between curves, the volumes of various figures, the length of plane curves, and the area of various surfaces. There are also many applications within other disciplines that will be explored in this subunit.