UPSC Maths Optional | Double Integral PYQs Part–2 (2010–2025) | скачать в хорошем качестве

UPSC Maths Optional | Double Integral PYQs Part–2 (2010–2025) |

UPSC Maths Optional | Double Integral PYQs Part–2 (2010–2025) | #upsc #safaltakiore #mathsoptionalpaper1 Welcome to SAFALTA KI ORE with Priyanka Godara! This is Part–2 of the Double Integrals PYQ Series, where we continue solving the 15 Years (2010–2025) of UPSC CSE Maths Optional Previous Year Questions from Calculus – Double Integrals. In this session, we cover the advanced and second-half questions from UPSC, including: ✔ Region transformation problems ✔ Changing the order of integration (advanced cases) ✔ Integrals over triangular & curved boundaries ✔ Double integrals involving absolute values ✔ Conversion to polar coordinates ✔ Using Jacobian when switching variables ✔ Integrals representing area & mass ✔ Questions combining double integrals with symmetry ✔ Exact UPSC mains answer-writing format ✔ Analysis of repeated PYQ patterns in Part–2 Why this Part–2 video is important: 📌 Double integral PYQs often contain 1–2 tough questions every year 📌 UPSC repeats many patterns with minor variations 📌 Understanding region sketching is crucial to scoring full marks 📌 Part–2 covers the trickiest questions asked in the last 15 years This video is ideal for: 🔹 UPSC CSE Maths Optional Aspirants 🔹 B.Sc / B.Tech students learning higher integration 🔹 IIT-JAM / GATE / CUET PG candidates 🔹 Anyone revising multiple integrals in depth 📌 Download PDFs, Notes, and PYQs: Join Telegram → Safalta Ki Ore 📌 Watch the full Calculus PYQ playlist: • Double Integral Part–1 • Beta & Gamma Functions • Definite Integrals • Jacobian • Partial Derivatives • Maxima–Minima • Lagrange Multiplier Method If this video helps you, please LIKE ❤️ SHARE 📢 COMMENT ✍️ SUBSCRIBE 🔔 Your support motivates the complete 15-year PYQ series! #upscmathsoptional #doubleintegral #calculuspyq #multipleintegrals #upscpyqs #safaltakiore #priyankagodara #upscmains2025 #changeoforderintegration