INTEGRATION

 INTEGRATION

*Basic formula for integration 1. 👈 2.👈

Watch this video for understanding the basic of integration   Basic Integration

    Integration is one of the two main operations in calculus, the other being differentiation. While differentiation is about finding the rate of change or the slope of a function, integration is about finding the total accumulation, such as area, volume, or other quantities under a curve.

Definition

Integration is the process of finding the integral of a function. The integral gives the area under a curve in a graph of a function. It is used to combine small parts to find a whole.

There are two main types of integrals:

1. Definite Integrals
   These have upper and lower limits and give a specific numerical value, usually representing area or total accumulation.
   Example:

   $$\int_a^b f(x)\,dx$$

2. Indefinite Integrals
   These do not have limits and give a general formula representing a family of functions.
   Example:

   $$\int f(x)\,dx = F(x) + C$$

   where $C$ is the constant of integration.