INTEGRATION BY SUBSTITUTION | Class 12 Maths | How to Choose U? | Step-by-Step | A's Pathshala
A's PATHSHALA
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INTEGRATION BY SUBSTITUTION | Class 12 Maths | How to Choose U? | Step-by-Step | A's Pathshala
67 просмотров · 2 нед. назад
A's PATHSHALA
643 подписчика
67 просмотров · 2 нед. назад
INTEGRATION MEIN SUBSTITUTION KAB LAGANA HAI?
Integration ke questions mein sabse important skill sirf formula yaad karna nahi, balki *correct method identify karna* hai!
In this class, we’ll learn *Integration by Substitution Method* from the basics and understand how to choose the right substitution step-by-step.
📌 In This Video, You’ll Learn:
🔹 What is **Integration by Substitution**?
🔹 Why do we use substitution in integration?
🔹 How to choose *u* correctly
🔹 Identifying the inner function
🔹 Understanding the role of *du*
🔹 Step-by-step substitution method
🔹 Converting the complete integral into *u*
🔹 Integrating and substituting back
🔹 Solving different types of examples
🔹 How to recognise substitution-based questions quickly
🔹 Common mistakes students make
🔹 Exam-oriented tips and shortcuts
🧠 THE KEY IDEA:
If an integral contains a function along with its derivative, *substitution can often make the integral much simpler.*
For example:
*∫ f(g(x)) · g′(x) dx*
Put:
*u = g(x)*
and the complicated-looking integral can become a much simpler one. 💯
📚 *CHAPTER:* Integrals
🎓 *CLASS:* 12 Mathematics
📌 *TOPIC:* Integration by Substitution Method
🔥 *FOCUS:* Concept + Method Selection + Step-by-Step Examples + Questions
💡 *Don't just ask “Which formula?” — learn to recognise “Which method?”*
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