The ABSOLUTE BEST Way to Master Indefinite Integrals

📘 Indefinite Integrals | Class 12 Applied & Core Mathematics
In this video, we cover the basics of Indefinite Integrals in One Shot, an essential topic for Class 12 Mathematics (Applied as well as Core). This lesson will build the foundation you need before moving on to Definite Integrals and Applications of Integrals.

🔹 What you’ll learn in this video:
Introduction to Indefinite Integrals
Basic rules and formulas of integration
Standard results to remember
Step-by-step solved examples
How Indefinite Integrals connect to Definite Integrals & their Applications

Timestamps
00:17 Why Indefinite Integrals is important?
01:09 What is Integration?
02:11 Primitive or anti derivatives
03:33 What are the basic properties of Integrals?
05:15 What all properties of logarithms are used in integration?
06:06 Basic Integral practice questions and their solutions
11:49 How to integrate rational polynomials?
14:16 Practice questions for Integral of rational polynomials
20:15 How to use balancing for integration of rational polynomials?
23:38 How to use long division to convert an improper rational polynomial to proper rational polynomial?
25:15 How to use vedic maths way to convert an improper rational polynomial to proper rational polynomial?
29:52 Some standard special integrals and how to learn them?
34:48 Practice questions for using standard special integrals formulae
36:04 How to use method of completing the squares for integration of rational expressions involving rational polynomials?
39:24 Methods of Indefinite Integrals
40:20 How to choose the correct substitute and use substitution for integration?
42:42 Important shortcut properties for integration that have been derived using substitution
44:07 Practice questions for integration using substitution
55:20 Where and how to use partial fractions for integration?
1:12:50 Where and how to use Integration by Parts?
1:13:23 How to learn formula for Integration by parts?
1:14:08 How to choose which function is first function and the other is second function using ILATE?
1:14:50 special form of integration by parts
1:15:20 Practice questions for Integration by parts

✨ Perfect for:
Class 12 Applied Maths students
Class 12 Core Maths students preparing for Boards & Competitive Exams
Anyone revising the basics of Calculus

📌 Stay tuned for upcoming videos on Definite Integrals and Applications of Integrals to strengthen your understanding further!

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