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Exercise 3.2 – 2nd Year Math | Trigonometric Integration | Complete Solutions in Urdu/Hindi

In this video, I’ve solved the complete Exercise 3.2 from FSc Part 2 Mathematics (Grade 12, Chapter 3 – Integration). This exercise focuses on trigonometric integration and includes a wide variety of integral problems using basic identities, standard formulas, and reverse differentiation techniques.

✅ Integration using trigonometric identities
✅ Standard integrals of sin, cos, tan, cot, sec, and cosec
✅ Use of trigonometric formulas
✅ Verification using differentiation
✅ Step-by-step explanation in Urdu
✅ Perfect for board exam & ECAT/MDCAT
CHAPTERS:
00:00 Intro
00:12 Integration Formulas of Trigonometric Functions
07:45 Q#1
11:50 Q#2
15:06 Q#3
17:45 Q#4
20:40 Q#5
24:33 Q#6
26:18 Q#7
28:36 Q#8
30:10 Q#9
33:32 Q#10
37:25 Q#11
40:21 Q#12
42:15 Q#13
43:56 Q#14
45:27 Q#15
46:35 Q#16
49:15 Q#17
51:45 Q#18
preparationTopics Covered:

Indefinite integration of trigonometric functions

Using identities to simplify expressions

Integration with composite arguments (like sin(3x), cos(5x))

Integration of inverse trigonometric functions

Integration by substitution basics

Derivative check for verification

Real-life application base problems
Ideal For:

FSc Part 2 (Pre-Medical & Pre-Engineering)

ICS Math Students

Board Exam Preparation (FBISE, Punjab Board)

ECAT / MDCAT Aspirants

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