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In *Lecture 7 of Definite Integration**, we focus on **important special type problems* of the form: ∫₀ᵃ f(x) / [ f(x) + f(a − x) ] dx This lecture explains the *logic, symmetry, and shortcut trick* behind such integrals, along with a *clear step-by-step solution* so that you can solve these questions **accurately and quickly in exams**. 🔹 What you will learn in this lecture: • Understanding the structure of special definite integrals • Step-by-step solution of ∫₀ᵃ f(x) / [ f(x) + f(a − x) ] dx • Symmetry-based reasoning • Smart trick to solve such integrals in *just a few seconds* • How to identify these forms instantly in exams • Common mistakes to avoid This lecture is **extremely important for JEE & Board exams**, where speed + clarity matters. 🎯 Best for: 📌 Class 11 & Class 12 students 📌 CBSE / ISC Board Exams 📌 JEE Main & JEE Advanced 📌 Competitive exam aspirants 📌 Students aiming to master Definite Integration tricks 📢 Join our learning community for notes, tricks & practice: 🔹 WhatsApp Channel: https://whatsapp.com/channel/0029VbC0... 🔹 Telegram Channel: https://t.me/ConceptCrux 👍 Like | 💬 Comment | 🔁 Share | 🔔 Subscribe Let’s solve **Definite Integration smartly**, not blindly! 🏷️ HASHTAGS: #DefiniteIntegration #DefiniteIntegral #Integration #IntegralCalculus #Calculus #AdvancedCalculus #SpecialIntegrals #TrickyIntegrals #IntegrationTricks #ShortcutMaths #QuickMaths #SymmetryInIntegration #IntegralProperties #ExamOrientedMaths #StepByStepMaths #SolvedExamples #ConceptualMaths #MathsWithLogic #Class12Maths #Class11Maths #CBSEMaths #ISC_Maths #BoardExamPreparation #JEE #JEE2026 #JEE2027 #JEEMaths #JEEAdvanced #JEEMain #EngineeringMathematics #CalculusForEngineers #MathsLecture #OnlineMathsClass #MathsTeacher #MathsExplanation #LearnMaths #StudyMaths #MathsPreparation #RevisionLecture #IndianStudents #MathsIndia #ConceptCrux #ConceptCruxMaths #ConceptCruxLearning