Integration Techniques

What is Integration?

The process of determining the function from its derivative is called Integration. In other words, the procedure of finding the anti-derivatives of the function is called the integration. The result obtained after the integration is called integral. The integration can be done using multiple methods like integration by substitution, integration by parts, integration by partial fraction, etc....

Rules for Integration

Some important rules of integration are:...

Antiderivative: Integration as Inverse Process of Differentiation

The process of finding the antiderivative i.e., the inverse of the derivative is called integration. If Φ(x) is a function and the derivative of Φ(x) is f(x) then, integration of f(x) results in Φ(x)....

Integration Formulas

The various integration formulas are:...

Types of Integration

Integration can be classified into three types:...

Integration Techniques

There are various methods to find the integration of a function. Some of these are listed below:...

Integration of Basic Functions

There are different integration formulas for different functions. Below we will discuss the integration of different functions in depth and get complete knowledge about the integration formulas....

Applications of Integration

There are various applications of integration. Some of them are listed below:...

Integration vs Differentiation

The basic difference between integration and differentiation is tabulated below:...

Solved Examples on Integration

Example 1: Solve: ∫x6dx...

Practice Questions on Integration

Question 1: Evaluate: ∫ (x4 + ex + 3sinx) dx...

Conclusion of Integration

Integration is a fundamental concept in calculus that involves finding the antiderivative of a function or the area under a curve. Several key rules simplify the process of integration. The Power Rule allows us to integrate by increasing the exponent by 1 and dividing by the new exponent. The Addition Rule lets us integrate sums of functions by integrating each function separately and then adding the results, while the Subtraction Rule applies similarly for differences, integrating each function separately and then subtracting the results. The Constant Multiple Rule states that if a function is multiplied by a constant, we can factor out the constant and then integrate the function. Understanding these basic rules provides a solid foundation for solving a wide range of problems involving integration....

Integration – FAQs

What does Integration mean?...