Integrals

In this topic, we will learn that integration is the reverse of differentiation through examples. It will also explain the relationship between integration and differentiation and problems based on them.

This topic deals with the methods of integration. It explains different methods to integrate an expression with the help of examples. We will also learn that the result would be the same from a different way of solution.

Integration by partial fractions is one of the methods to find integration. In this topic, we will learn to integrate an expression by partial function by using the formulas.

Integration by parts is one of the methods to find integration. In this topic, we will learn to integrate an expression by parts by using the formulas used for it through examples and exercises.

The topic introduces the concept of definite integrals and states that they have unique values. It is introduced as the limit of a sum. If it has an anti-derivative in the interval, its value is the difference between the values at the endpoints.

In this topic, we will learn the statement and proof of some fundamental properties of definite integral, which are useful in evaluating integrals. It also consists of solved problems illustrating the use of properties of definite integrals.