Differentiation & Integration (IIT-JEE)

Differentiation in Mathematics is the process of finding the derivatives or rate of change of a function. In contrast to the abstract nature of theory behind it, the practical technique of differentiation can be carried out by purely algebraic manipulation using three basic derivatives, four rules of operation and a knowledge of how to manipulate functions.

Integration is the calculation of an integral. Integrals in maths are used to find many useful quantities such as areas, volumes, displacement, etc. When we speak about integrals, it is related to usually definite integrals. The indefinite integrals are used for antiderivatives. Integration is one of the two major calculus topics in Mathematics, apart from differentiation(which measure the rate of change of any function with respect to its variables).

In Maths, integration is a method of adding or summing up the parts to find the whole. It is a reverse process of differentiation, where we reduce the functions into parts. This method is used to find the summation under a vast scale. Calculation of small addition problems is an easy task which we can do manually or by using calculators as well. But for big addition problems, where the limits could reach to even infinity, integration methods are used. 

Targeted Audience :

1. For All Boards (CBSE, ICSE, IB etc.), Std. 12th
2. For competitive exams aspirants like IIT-JEE  etc.  
3. Learners who wants to improve knowledge about Differentiation and Integration.