Скачать или смотреть Exercise 3.2 class 12 || federal board new book 2025 || Integration of Trigonometric Functions

PDF Notes of this Lecture 👉 https://drive.google.com/drive/folder...

Assalamualaikum dear students!

Agar aap 12th class Mathematics (Federal Board) ke National Book Foundation ke Chapter 3: Integration ko asaani se samajhna chahte hain — especially Exercise 3.2, toh aap bilkul sahi jagah par hain ✅

Is video mein hum trigonometric functions ki integration ka complete breakdown karein gy with proper concepts, and aasan techniques.

📌 Topics Covered in This Lecture:
🔹 Step-by-step solutions of Exercise 3.2 (Federal Board New Book 2025)
🔹 Integration of basic trigonometric functions using derivative formulas
🔹 integration formulas from derivative
🔹 How to remember integration formulas (smart memorization tips)
🔹 Integration of sin²x, cos²x using double-angle identities
🔹 Integration by substitution
🔹 Techniques for integrating square of trigonometric functions



Time Code (Exercise:3.2):

00:00 – Outline of the lecture
01:58 – Overview of Exercise
03:08 – integration formulas from derivative
12:06 – Tips how to remember integration of tanx, cotx, secx, cscx
17:30 – Integration of secx and cosecx (prove)
19:51 – Integration of square of trigonometric functions
30:31 – Question 01
36:34 – Question 02
39:57 – Question 03
43:01 – Question 04
45:37– Question 05
49:35– Question 06
51:38 – Question 07
53:04 – Question 08 (important)
57:27 – Question 09
1:00:02 – Question 10
1:02:56 – Question 11 (important)
1:06:57 – Question 12 (important)
1:09:15 – Question 13 (tricky question)
1:12:03 – Question 14
1:13:26 – Question 15 (very important)
1:15:46 – Question 16 (important)
1:18:57 – Question 17 (important)
1:21:09 – Question 18 (important)




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