Indefinite Integration - Problems Solving - 5 | Class 12th, JEE Mathematics | Rohit Ranjan (IIT KGP)

Описание: This video nicely shows two different applications of partial fractions—one pure rational function and one with a square root, which is exactly how CBSE frames questions.

Indefinite Integration | Partial Fractions Method | Class 12 Maths

In this video, we solve a problem set based on the Partial Fractions method, covering two important types of indefinite integration problems that are frequently asked in Class 12 CBSE board examinations.

📌 Problems discussed in this video (YouTube-friendly format):

🔹 Problem 1

Integrate
(x² + x + 1) / ( (x + 1)² (x + 2) ) dx

This problem demonstrates:

Decomposition of rational functions

Handling repeated linear factors

Correct setup of partial fractions

🔹 Problem 2

Integrate
(x + 2) / √(x² + 5x + 6) dx

This problem demonstrates:

Using partial fractions / substitution ideas with square-root expressions

Simplifying the quadratic expression inside the root

Choosing the correct method to reduce the integral

🔹 What you will learn in this video:

How to identify when partial fractions should be used

Different cases of denominators in partial fractions

Combining algebraic simplification with integration

Step-by-step, board-oriented solutions

Common mistakes students make in partial fraction problems

🔹 Conceptual focus:
✔ Correct decomposition of rational expressions
✔ Method selection in exams
✔ High-probability board-level problems

This video is highly useful for Class 12 CBSE students preparing for indefinite integration using partial fractions.

📌 This video is part of the Indefinite Integration playlist.

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