Application of Integrals

From the many applications of integrals, some are listed below:

In Mathematics integrals are used to find:

• Center of mass(Centroid) of an area having curved sides
• The average value of a curve
• The area between two curves
• The area under a curve

In Physics integrals are used to find:

• Centre of gravity
• Center of mass
• Mass and moment of inertia of vehicles
• Mass and momentum of satellites
• The velocity and trajectory of a satellite
• Thrust

There are two forms of integrals. Indefinite Integrals: It is an integral of a function when there is no limit for integration. It contains an arbitrary constant. Definite Integrals: An integral of a function with limits of integration.

Application of integrals also includes finding the area enclosed in the eclipse, the area of the region bounded by the curve, or any enclosed area bounded in the x-axis and y-axis. The application of integrations varies depending upon the fields. Graphic designers use it for the creation of three-dimensional models. Physicists use it to determine the center of gravity, etc.

Let us have a look at one of the common applications of integrals i.e., how to find area under the curve.