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📘 Integrals – Important Formulas & Basic Problems | One Shot II PUC Mathematics | Karnataka State Board | Board Exam Revision In this video, we cover the Most Important Basic Problems in One Shot from the Integrals chapter for II PUC Mathematics – Karnataka State Board. This session includes revision of essential integral formulas along with 14 exam-oriented basic problems that are frequently asked in board examinations. It is designed for students who want quick, clear, and complete revision before the Karnataka Board Maths exam. 🔥 Most Important Basic Problems in One Shot 1) ∫ x²[1 − (1/x²)] dx (2:18) 2) ∫ (2x + e^x) dx (4:30) 3) ∫ (ax² + bx + c) dx (6:24) 4) ∫ [√x − (1/√x)]² dx (8:02) 5) ∫ (x³ + 5x² + 4)/√x dx (11:32) 6) ∫ (x³ − x² + x − 1)/(x − 1) dx (14:30) 7) ∫ √x (1 − √x) dx (16:24) 8) ∫ √x (3x² + 2x − 3) dx (17:48) 9) ∫ (√x + 1/√x) dx (21:00) 10) ∫ (sinx + cosx) dx (22:05) 11) ∫ (2x − 3cosx + e^x) dx (23:20) 12) ∫ (x³ − 1)/x² dx (24:50) 13) ∫ secx(secx + tanx) dx (26:39) 14) ∫ cosecx(cosecx + cotx) dx (27:54) 📌 What You Will Learn ✔ How to apply standard integral formulas correctly ✔ Simplifying expressions before integrating ✔ Handling algebraic, trigonometric, and exponential integrals ✔ Step-by-step method to score full marks in Karnataka Board exam ✔ Avoiding common mistakes in basic integral problems 🎯 Who Should Watch • II PUC students – Karnataka State Board • Students preparing for board exams • Students doing last-minute revision of Integrals • Students aiming to strengthen basic concepts clearly 📩 Need Notes or Guidance? DM me for handwritten notes and exam support 📞 9886525526 👉 Follow VTU Maths with Muheeb (Mathematics Tutor) on WhatsApp https://whatsapp.com/channel/0029Vb6c... 👉 Get all VTU Maths updates and video links on Telegram https://t.me/vtumathswithmathematicst... 💎 Support Us: Join our channel and get access to exclusive perks 👇 / @officialmathematicstutor #IIPUCMathematics #KarnatakaBoard #Integrals #MostImportantBasicProblems #BoardExamPreparation #SecondPUCMaths #MathematicsTutor