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Ashutosh Kumar

Here is the module number four in 'A course in Calculus'. In this module different techniques of integration are explained.

CBSE Class 12

Hindi

(Hindi) Course on Calculus: Module 4: Indefinite Integrals

Integrals

Calculus

Mathematics

Class 6-12

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CBSE

CBSE (Central Board of Secondary Education)

Lesson 0: The Contents (in Hindi)

In this first lesson we shall see some basic stuffs. In fact we shall understand the integration as the reverse process of differentiation.

Lesson 1: Basic Integrations (in Hindi)

In this lesson we shall learn some important rules of integration. All go through some examples.

Lesson 2: Some Important Rules (in Hindi)

In this lesson we shall do 'Algebraic Transformation' of integrands which makes the integration simpler.

Lesson 3: Algebraic Transformation (in Hindi)

This lesson is based on exponential transformation technique. Let see.

Lesson 4: Exponential Transformation (in Hindi)

Trigonometric transformation is one of the most important techniques which help to find the integral of the integrands involving trig functions. let us see how to apply it.

Lesson 5: Trigonometric Transformation (in Hindi)

Substitution is the most important technique of integration. In this lesson we shall the fundamental type of substitution and we call it 'Direct Substitution'. ☺

Lesson 6 : Direct Substitution (in Hindi)

Sometimes we need to do some changes in the integrands before doing the substitution. Let's see some examples on this.

Lesson 7: Manipulation before Substitution -1 (in Hindi)

Let's do more examples on manipulation before substitution in this lesson.

Lesson 8: Manipulation before Substitution -2 (in Hindi)

In this lesson we shall learn how to find the integral of the integrands having sinx and cosx with some natural powers.

Lesson 9: Powers of sinx and/or cosx (in Hindi)

What shall we do if the integrand is tanx and secx with some powers? Let's see.

Lesson 10: Powers of tanx and/or secx (in Hindi)

Sometimes we face the integrands in which a polynomial is multiplied to a powered linear. Let's understand how to handle them.

Lesson 11: Polynomial Multiplied with Powered Linear (in Hindi)

In this lesson we shall understand the concept of Inverse substitution.

Lesson 12: Inverse Substitution (in Hindi)

There are nine special integrals that are used to integrate some important form of integrands. Let's see which are these special nine.

Lesson 13: Special Nine Integrals (in Hindi)

We can apply Special nine in some important integration. Let's see.

Lesson 14: Completing the square (in Hindi)

In this lesson we learn how to write a linear in terms of derivative of a given quadratic and then to integrate.

Lesson 15: Splitting into Two (in Hindi)

Sometimes we need to perform substitution and transformation both to integrate some functions. Let's see how to do.

Lesson 16: Transformation and Substitution both-1 (in Hindi)

We shall continue to learn Substitution and transformation both. Let's see some more examples.

Lesson 17: Transformation and Substitution both -2 (in Hindi)

In this lesson we shall learn how to integration by using partial fractions of a given proper fraction. We shall understand the case where denominator is the product of distinct linear factors.

Lesson 18: Partial Fraction - 1 (in Hindi)

In this lesson we shall see other two cases to apply partial fraction technique.

Lesson 19: Partial Fraction -2 (in Hindi)

In this lesson we shall do some more examples on partial fraction technique.

Lesson 20: Partial Fraction- 3 (in Hindi)

Integration by parts is applied whenever the integrand is product of two different functions. Let's see some basics.

Lesson 21: Integration by Parts -1 (in Hindi)

In this lesson we shall see some more examples on Integration by Parts.

Lesso 22: Integration by Parts-2 (in Hindi)

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Enjoy learning.

(Hindi) Integration - Class XI / XII and JEE Mains

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Saurabh Jha

Integration is the fundamental concept of calculus which helps us in computing area under the curve. Indefinite Integration, in calculus, is the process of calculating indefinite integrals, also known as anti derivative. Saurabh Jha brings a complete course on these topics, explaining the concepts in depth and solving problems related to them for better understanding.

(Hindi) Mathematics Class 12 - Indefinite Integration and Problems

This course will take you through Maxima and Minima in which we will discuss Local Maxima, Local Minima, Global Maximum and Global Minimum Points for any function in any interval. Based on that, we will also have multiple questions related to applications based on the concept of Maxima and Minima.

Lessons

23 lessons • 5h 9m

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Lesson 0: The Contents (in Hindi)

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Lesson 1: Basic Integrations (in Hindi)

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Lesson 2: Some Important Rules (in Hindi)

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Lesson 3: Algebraic Transformation (in Hindi)

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Lesson 4: Exponential Transformation (in Hindi)

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Lesson 5: Trigonometric Transformation (in Hindi)

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Lesson 6 : Direct Substitution (in Hindi)

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Lesson 7: Manipulation before Substitution -1 (in Hindi)

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Lesson 8: Manipulation before Substitution -2 (in Hindi)

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Lesson 9: Powers of sinx and/or cosx (in Hindi)

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