Class 12 Integrals Miscellaneous | 5 Must-Know Board Questions скачать в хорошем качестве

Class 12 Integrals Miscellaneous | 5 Must-Know Board Questions

In this video, we solve 5 IMPORTANT Integrals from NCERT Class 12 Mathematics (Miscellaneous Level). These questions test: ✔ Substitution clarity ✔ Integration by Parts thinking ✔ Properties of Definite Integrals ✔ Modulus handling ✔ Trigonometric manipulation ✔ Graphical interpretation ━━━━━━━━━━━━━━━━━━ 📘 QUESTIONS DISCUSSED ━━━━━━━━━━━━━━━━━━ 1️⃣ ∫ (sin 2x cos 2x) / √(9 − cos⁴ 2x) dx 2️⃣ ∫ (log(log x) + 1/(log x)²) dx 3️⃣ ∫₀^π x / (a² cos² x + b² sin² x) dx 4️⃣ ∫₋₁^(3/2) |x sin πx| dx 5️⃣ ∫ (√cot x + √tan x) dx ━━━━━━━━━━━━━━━━━━ 🎯 WHY THESE QUESTIONS MATTER ━━━━━━━━━━━━━━━━━━ • Frequently asked type in boards • Concept-mixing problems • Time-saving techniques inside • Helps strengthen definite integrals & substitution logic ⚠️ This is NOT about memorizing formulas. We focus on thinking clearly and solving smartly. Perfect for: • CBSE Class 12 Board Exam • CUET Maths • Final Revision • NCERT Miscellaneous practice 👉 Watch till the end to master all 5. class 12 integrals important integrals class 12 ncert integrals miscellaneous definite integrals class 12 class 12 board maths integration by parts class 12 properties of definite integrals modulus integrals class 12 cbse class 12 maths cuet maths integrals