📘 Description: In this lecture, Sachin Sir explains how Real Integrals can be evaluated using Complex Analysis methods such as Contour Integration and the Residue Theorem. This topic is part of the B.Sc Mathematics Semester 5 (Lucknow University) syllabus and is essential for understanding advanced integration techniques. 🧠 Topics Covered: Concept of Complex Integration Contour and Path Integrals Cauchy’s Integral Theorem & Formula Residue Theorem and Residue Calculation Jordan’s Lemma and Infinite Arcs Applications to Real Integrals Solved Examples & Previous Year Questions 🎓 Useful For: ✔️ B.Sc Math Semester 5 Students (Lucknow University & Others) ✔️ CSIR NET / GATE Mathematics Aspirants ✔️ Students learning Real and Complex Analysis 📞 Contact Us: 9670578278 👨🏫 Instructor: Sachin Sir 🔑 Keywords / Tags: Real Integral using Complex Analysis, Residue Theorem, Contour Integration, Cauchy Integral Formula, Jordan Lemma, Real Integrals Evaluation, Complex Analysis Lecture, B.Sc Math Sem 5, Lucknow University, Mathematics by Sachin Sir 📺 Watch till the end for complete concept clarity and solved examples! 👍 Like, 🔁 Share, and 🔔 Subscribe for more lectures from Sachin Sir. #BScMathematics #NEP #LucknowUniversity #Semester1 #Diffrentialcalculus #MathLecture #AspireMathOfficial #RealIntegral #ComplexAnalysis #BScMaths #Semester5 #LucknowUniversity #SachinSir #MathsLecture #BackClear #MathsMadeEasy #LU #BScSem5 #ComplexAnalysisLecture Real Integral, Complex Analysis, BSc Maths, BSc Sem 5, Lucknow University, Sachin Sir, Maths Lecture, BSc Semester 5, Complex Analysis Lecture, Real Integral Explained, Real Integral Complex Analysis, LU Maths, BSc Maths Lucknow University, Maths Made Easy, Special Back Clear, BSc Math Notes, Real Integral Numericals, Complex Analysis Important Questions, BSc 5th Semester, Back Paper Preparation, Lucknow University Maths, BSc Complex Analysis, Real Integral Full Concept, Complex Integration, BSc Maths Lecture, Sachin Sir Maths, Complex Analysis BSc Sem 5, LU Exam Preparation, Real Integral Tricks, Complex Analysis Notes