Mathematics - Integration

Integration class 12 is a cycle in which we find many valuable quantities like area, volume, etc. It is a technique for adding the parts to see the whole. Being a reverse process of Differentiation, Integration helps reduce the function into parts. At the same time, the integration method is used to find the summation on a vast scale. For the big addition problems, the limits even reach infinity. Both Integration and Differentiation play a significant role in determining Calculus. Its concept level is tricky and introduced to the students at higher secondary classes.

Integrals in Maths

You will get familiar with the idea of Integrals in Maths in the higher classes.

There are two types of Integrals in Maths.

  • Definite Integral
  • Indefinite Integral

Definite Integral

An integral that contains the upper and lower limits then it is unequivocally necessary. On a simple line, x is limited to lie. Definite Integral also refers to as Riemann Integral.

A definite Integral is represented as:

\ (\int_{a}^{b} f(x) dx\)

Indefinite Integral

Indefinite integrals are defined without upper and lower limits. It is represented as:

∫f(x) dx = F(x) + C

Where C is any consistent and the function f(x) is known as the integrand.