Скачать или смотреть Indefinite Integration 13 | CONQUER using this 1 TRICK | irrational functions | class 12 Maths

Are you or your child struggling to understand Indefinite Integration — what it truly means and how to solve those tricky rational and irrational function problems? 🤔 In this powerful Class 12 Math session by Saurabh Kumar Dutt (Sourobh Kumar Dotto), founder of The Mathematics Helpline, you’ll finally discover the real meaning of integration, the connection between calculus and anti-derivatives, and the simple method to master indefinite integration. 💪

Whether you’re a student of CBSE, ISC, IB, or IGCSE Mathematics, or a parent of a teen studying in India or abroad, this lesson breaks down every concept of integration, anti-derivatives, and primitives with crystal-clear logic and examples from real board-level problems. Designed especially for boarding school students, this video transforms fear into confidence — helping you grasp the why behind every formula so that Mathematics finally starts making sense.

Join The Mathematics Helpline movement — where clarity, confidence, and conceptual mastery meet the world of calculus and integration. 🌟
👉 Watch now and feel the difference that a passionate teacher and 100% clarity can make in your journey to Math excellence!

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Time Stamps
0:00 Indefinite Integration — Why it Confuses Students
0:33 Tiny Difference, Big Impact (Formula Contrast)
0:46 “I’m Shukumar Dotto” — What You’ll Gain
1:26 Topic Start + Surprise at the End
1:39 Community Update & Learning Together
1:59 Formula 1: ∫ dx / √(x² + a²) = ln|x + √(x² + a²)| + C
2:17 Formula 2: ∫ dx / √(x² − a²) = ln|x + √(x² − a²)| + C
2:52 Try-It Prompt + How to Study (write & revise)
3:26 Problem Setup: ∫ √(x + a) / (x − a) dx
4:36 Motivation Minute (Share & Help Others)
5:01 Strategy: Remove Irrationality via Smart Multiplication
6:33 Inside the Root: (x + a)² and Denominator (x² − a²)
7:02 Power Rule Insight (cancel √ with square)
8:12 Rational Form Achieved: (x + a)/√(x² − a²)
8:48 Split Terms: x-part and a-part
9:44 Make Derivative Appear: multiply & divide by 2
10:22 Map to Pattern: f′(x)[f(x)]ⁿ (power formula)
11:00 Two Formulas We’ll Use (recap)
13:11 Integration Step 1 (power formula applied)
13:53 Integration Step 2 (log formula applied)
14:59 Final Simplification & Neat Answer
16:45 Second Walk-Through (full quick recap)
18:03 Identify f′(x) and f(x) Clearly
19:34 Why Constant ‘a’ Comes Out of Integral
20:00 Write the Answer Cleanly + Tips
21:35 Note on International Day of the Girl Child (11 Oct)
22:56 Doubts? Use the Help Form (in description)
24:04 Brief History: UN adopted day on 19 Dec 2012
24:41 How to Fast-Track: live classes, tests, materials
25:16 Tell Me Your Takeaways (comment prompts)
26:01 Practice Task in Description (do + post a Short)
26:35 How to Post Your Short (9:16, tag @theMATHEMATICShelpline)
27:37 Sign-off — See You Tomorrow

Hi,
Master Indefinite Integration step by step! In this video, Sourobh Kumar Dotto (The Mathematics Helpline) explains Indefinite Integration of rational and irrational functions for Class 11, Class 12, and competitive exams like IIT-JEE, NEET, SAT, and other Mathematics entrance tests.

This video is designed for English medium students of Class 11 & 12, as well as adults preparing for competitive Mathematics exams worldwide.


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—

Sourobh Kumar Dotto
📧 [email protected]

📱 WhatsApp: 7267030977

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