Скачать или смотреть sec x + tan x Substitution — The Hidden concept in Integration | JEE Main & Advanced | 12th

sec x + tan x Substitution — The Hidden concept in Integration | JEE Main & Advanced | 12th

In this video, we explore how to simplify and solve complex trigonometric integrations using the fundamental identity, learn how it simplifies tough integrals in just a few steps!

👉 sec²x − tan²x = 1
👉 csc²x − cot²x = 1
👉 (pi/2) -x

Learn powerful substitution tricks, shortcuts, and step-by-step methods that are often used in JEE Main and JEE Advanced integration problems.

📘 Topics Covered:

sec x – tan x, sec x + tan x, csc x – cot x, csc x –+cot x substitution method

We’ll explore:

✅ Substitution using sec x + tan x
✅ Solving ∫ secx·tanx / (secx ± tanx)ⁿ dx

📈 Strengthen your integration concepts and boost your problem-solving speed!

Time Stamps :

0:00 Introduction
0:35 ∫sec^2(𝑥)/(sec(𝑥)+tan(𝑥) )^𝑛 𝑑𝑥
1:10 ∫sec^2(𝑥)/(sec(𝑥)-tan(𝑥) )^𝑛 𝑑𝑥
1:50 ∫sec(𝑥)tan(𝑥)/(sec(𝑥)-tan(𝑥) )^𝑛 𝑑𝑥
2:16 ∫sec(𝑥)tan(𝑥)/(sec(𝑥)+tan(𝑥) )^𝑛 𝑑𝑥
2:48 ∫csc^2(𝑥)/(csc(𝑥)+cot(𝑥) )^𝑛 𝑑𝑥
3:12 ∫csc^2(𝑥)/(csc(𝑥)-cot(𝑥) )^𝑛 𝑑𝑥
3:45 ∫csc(𝑥)cot(𝑥)/(csc(𝑥)+cot(𝑥) )^𝑛 𝑑𝑥
4:10 ∫csc(𝑥)cot(𝑥)/(csc(𝑥)-cot(𝑥) )^𝑛 𝑑𝑥

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