Скачать или смотреть Exercise 3.7 Class 12 math || Federal Board New Book 2025 || Fundamental Theorem of calculus | FBISE

Download PDF Notes of Exercise 3.7 Class 12 math Federal Board New Book 2025 Fundamental Theorem of calculus by Dr Rizwan 👉 https://drive.google.com/drive/folder...

🎓 F.Sc Part 2 Mathematics – Chapter 3: Integration (Exercise 3.7)
📚 Based on the Federal Board (FBISE) New Book 2025 | National Book Foundation
🌐 Urdu/Hindi Explanation | With Real-Life Examples & Graphical Concepts

00:00:00 Introduction
‎00:07:56 Question 01
‎00:11:55 Question 02
‎00:15:07 Question 03
‎00:17:55 Question 04
‎00:19:45 Question 05
‎00:21:21 Question 06
‎00:24:37 Question 07
‎00:27:33 Question 08
‎00:29:44 Question 09
‎00:31:29 Question 10
‎00:38:51 Question 11
‎00:43:13 Question 12
‎00:48:11 Question 13
‎00:55:49 Question 14
‎00:59:06 Question 15
‎01:07:54 Question 16
‎01:17:35 Question 17
‎01:11:54 Question 18
01:28:12 Question 19
‎01:23:41 Question 20

🔗 Watch the Full Playlists for 12 Class Math, NBF New Book:
Chapter 01 :    • Chapter 1 Class 12 Math || Functions and G...  
Chapter 03 :    • Chapter 3 Class 12 Math || Integration Tec...  
Chapter 04:    • Chapter 4 Class 12 Math || Differential Eq...  


📌 What You’ll Learn in This Lecture:

✅ Concept of Definite Integrals
✅ How to calculate Area Under a Curve using definite integrals
✅ Difference between Definite vs. Indefinite Integrals (Antiderivatives)
✅ Fundamental Theorem of Calculus simplified
✅ Complete solution of Exercise 3.6 with step-by-step board-style explanation
✅ Graphical understanding for visual learners
✅ Proper and improper integral
✅ Tips and tricks for board exam and entry test success

📘 Topics Covered in Detail:

🔹 What is a Definite Integral?
🔹 Area under a curve using integration
🔹 Limits of Integration: From a to b
🔹 Real-life applications of definite integrals
🔹 Key formulas and simplification techniques
🔹 Comparison with Indefinite Integrals (Antiderivatives)
🔹 Graphical Interpretation of Integration
🔹 Solved Questions from Exercise 3.6 – FBISE Math 2025

🔥 Key Learning Outcomes:

✔ Visualize how integration calculates area
✔ Master the difference between definite and indefinite integrals
✔ Understand and apply limits of integration
✔ Prepare confidently for board exams and entry tests (SAT, GRE, A-Level, ECAT, MDCAT)
✔ Strengthen your calculus foundation for higher studies

🏷️ Keywords
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This video covers Class 12 Math as per the FBISE 2025 new syllabus using the National Book Foundation (NBF) textbook. In this lesson, Dr Rizwan explains Chapter 3: Integration, focusing on Definite Integrals and the Fundamental Theorem of Calculus. Whether you're a student of the Federal Board or preparing for your 2nd year math exam, this detailed walkthrough of Exercise 3.1 will strengthen your understanding of calculus concepts. Dr Rizwan's math lectures are designed to simplify complex problems, with solved examples, step-by-step explanations, and a focus on conceptual clarity. Ideal for those looking to master Fbise class 12 integration, review NBF book solutions, or build strong problem-solving skills in math. Study smart, revise effectively, and excel in your exams with trusted educational content by Dr Rizwan.

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