Category: 3. Application of Integrals

The area under the curve can be calculated through three simple steps. First, we need to know the equation of the curve(y = f(x)), the limits across which the area is to be calculated, and the axis enclosing the area. Secondly, we have to find the integration (antiderivative) of the curve. Finally, we need to… Continue reading How to Find Area Under The Curve?

The value of the function found by the process of integration is called an integral. In general, there are two types of integrals:Definite Integrals (the value of the integral is definite)Indefinite Integrals (the value of the integral is indefinite)

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… Continue reading Application of Integrals

Definite Integrals These are the integrals that have a pre-existing value of limits; thus making the final value of integral definite. The definite integrals are used to find the area under the curve with respect to one of the coordinate axes, and with the defined limits. Here we aim at finding the area under the curve g(x)… Continue reading Types of Integrals

Given the derivative f’ of the function f, a question that arises is, “Can we determine the function f?” Here, the function f is called antiderivative or integral of f’. The process of finding the antiderivative is called integration. On the other hand, the value of the function found by the process of integration is called an Integral. For… Continue reading Definition of Integral

There is a number of methods of calculations among which are functions, differentiation, and integration. Applications of Integrals are applied in various fields like Mathematics, Science, Engineering. Further, for the calculation of areas or irregular shapes in a two-dimensional space, we use majorly integrals formulas. Here a brief introduction on integrals is given, with applications… Continue reading Applications of Integrals