EXERCISE 3.4 (Integration by Parts) Full Solutions | INTEGRATION | Class 12 Math | FBISE | NBF

📘 Exercise 3.4 Full Solutions | Integration by Parts | Class 12 Mathematics | Federal Board | national Book Foundation In this lecture, we provide *complete solutions of Exercise 3.4 from Class 12 Mathematics (FBISE | National Book Foundation)**. The topic of **Integration by Parts* is explained in detail with step-by-step solutions for all questions (Q1 to Q18). Students preparing for *FBISE board exams* will find this lecture extremely helpful as it explains the **ILATE rule for choosing u and v**, solving integrals using the integration by parts formula, and covers every question with detailed explanation. This lecture is designed for *Class 12 Math students**, especially those following the **Federal Board of Intermediate and Secondary Education (FBISE)* and using the *NBF prescribed textbook**. Integration by parts is an important concept in **calculus* and plays a major role in board exam preparation. By the end of this lecture, you will understand: ✅ The formula of integration by parts ✅ How to choose u and v using the ILATE rule ✅ Step-by-step solutions to all questions of Exercise 3.4 ✅ Important exam-focused methods for solving integrals ⏱️ Timestamps – Exercise 3.4 Integration by Parts (Full Solutions) 00:00:00 – Introduction to integral by parts and understanding its formula 00:03:23 – Choosing u and v (ILATE rule explained) 00:08:30 – Q1: Evaluate the integral by using integration by parts 00:12:33 – Q2: Evaluate the integral by using integration by parts 00:20:07 – Q3: Evaluate the integral by using integration by parts 00:31:45 – Q4: Evaluate the integral by using integration by parts 00:35:57 – Q5: Evaluate the integral by using integration by parts 00:40:20 – Q6: Evaluate the integral by using integration by parts 00:46:45 – Q7: Evaluate the integral by using integration by parts 00:52:55 – Q8: Evaluate the integral by using integration by parts 01:00:07 – Q9: Evaluate the integral by using integration by parts 01:05:35 – Q10: Evaluate the integral by using integration by parts 01:08:03 – Q11: Evaluate the integral by using integration by parts 01:13:24 – Q12: Evaluate the integral by using integration by parts 01:18:08 – Q13: Evaluate the integral by using integration by parts 01:23:04 – Q14: Evaluate the integral by using integration by parts 01:36:55 – Q15: Evaluate the integral by using integration by parts 01:46:06 – Q16: Evaluate the integral by using integration by parts 01:51:08 – Q17: Evaluate the integral by using integration by parts 01:54:30 – Q18: Evaluate the integral by using integration by parts 📚 This lecture is part of the *Class 12 Mathematics course* based on the *National Book Foundation (NBF)* and recommended for *Federal Board (FBISE)* students. Perfect for board exam preparation, revision, and concept clarity in **calculus and integration techniques**. ✨ Keywords: Integration by Parts Class 12, Exercise 3.4 Solutions, Class 12 Mathematics Integration, Integration by Parts full lecture, ILATE rule explained, Integration problems for board exams, Calculus Class 12 FBISE, NBF math solutions, Federal Board Math Lectures, Class 12 Integration Problems with solutions, Class 12 Exercise 3.4 solved, Step by step integration by parts examples. 🔔 Don’t forget to LIKE, SHARE, and SUBSCRIBE for more **Class 12 Mathematics lectures, FBISE past paper solutions, and detailed tutorials for board exam success**. #Class12Math #IntegrationByParts #Exercise3_4 #FBISE #NBF #MathSolutions #BoardExamPreparation #Calculus #IntegralProblems #PakistanEducation