UPSC Maths Optional | Double Integral - Calculus -PYQs 2010–2025 | скачать в хорошем качестве

UPSC Maths Optional | Double Integral - Calculus -PYQs 2010–2025 |

UPSC Maths Optional | Double Integral - Calculus -PYQs 2010–2025 | #upsc #safaltakiore #maths Welcome to SAFALTA KI ORE with Priyanka Godara! In this video, we solve the 15 years (2010–2025) of UPSC CSE Maths Optional PYQs from Calculus – Double Integrals, along with detailed UPSC mains answer-writing format. This lecture covers: ✔ Definition & geometric meaning of double integrals ✔ Evaluation of double integrals over rectangular, triangular & general regions ✔ Changing the order of integration ✔ Region sketching for integrals ✔ Conversion between Cartesian & polar coordinates ✔ Jacobian use in transformation (if involved in PYQs) ✔ Standard tricks to identify limits of integration ✔ How to simplify double integrals using symmetry ✔ Most repeated types of UPSC questions ✔ Step-by-step solutions exactly as expected in UPSC CSE Mains Why this topic is important for UPSC: 📌 Double integrals appear frequently in PYQs 📌 Questions are usually moderate but scoring 📌 Understanding region diagrams is key 📌 UPSC often tests change of order & polar conversion Best suited for: 🔹 UPSC CSE Maths Optional students 🔹 GATE / IIT-JAM / CUET PG Mathematics 🔹 B.Sc / B.Tech calculus learners 🔹 Anyone revising higher integrals systematically 📌 Get PDFs, PYQs, Notes & Daily Practice Material Join Telegram: Safalta Ki Ore 📌 Watch other Calculus PYQ videos: • Beta & Gamma Functions • Definite Integrals • Jacobian • Partial Derivatives • Maxima–Minima • Lagrange Multiplier Method If this video helped you, please LIKE ❤️ | COMMENT ✍️ | SHARE 📢 | SUBSCRIBE 🔔 Your support helps complete this entire 15-year PYQ series! upsc maths optional double integral upsc upsc calculus pyqs double integral previous year questions multiple integrals upsc change of order of integration polar coordinates double integral region of integration calculus pyq solutions multivariable integration double integrals solved problems upsc maths optional calculus priyanka godara maths optional safalta ki ore upsc cse paper 1 maths 15 years maths optional pyqs higher integrals upsc multiple integrals calculus upsc mains maths solutions calculus for upsc double integration tricks polar form integration jacobian in double integrals area using double integrals upsc calculus preparation #upscmathsoptional #doubleintegral #calculuspyqs #upscpreviousyears #multipleintegrals #safaltakiore #priyankagodara #upscmains2025 #calculussolutions