What Are Derivatives and Integrals

Derivative is the result of the process differentiation, while integral is the result of the process integration. • Derivative of a function represent the slope of the curve at any given point, while integral represent the area under the curve.

What does integral of a derivative mean?

Integration of the derivative adds up all of the little changes along the way, so that when you are finished you have the total change, which is just the original function evaluated at the end minus the function evaluated at the beginning. Integrating a derivative gives a form that uses the original function.

What are integrals in calculus?

In calculus, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the fundamental objects of calculus. Other words for integral include antiderivative and primitive.