Chapter 8 One Shot | Area Under Curves | Application of Integrals Class 12 | NCERT | Faiz Sir скачать в хорошем качестве

Chapter 8 One Shot | Area Under Curves | Application of Integrals Class 12 | NCERT | Faiz Sir

इस वीडियो में हम Class 12 Maths Chapter 8 – Application of Integrals को One Shot में पूरी तरह से समझेंगे 📘✨। यह अध्याय CBSE Board, NCERT और Competitive Exams के लिए बहुत ही महत्वपूर्ण है। 🔹 इस लेक्चर में आप सीखेंगे: ✔️ Introduction to Application of Integrals ✔️ Area under Simple Curves ✔️ Circle, Ellipse, Parabola और Trigonometric Curves के Area ✔️ Graph based Questions ✔️ NCERT Examples & MCQs ✔️ Board Exam में आने वाले Most Important Questions 📌 Covered Topics & Examples: 🔸 Area enclosed by circle x2 + y2 = a2 🔸 Area enclosed by ellipse 🔸 Area bounded by curves like y = sin x, y = cos x, y = x³, y = |x+3| 🔸 First quadrant & bounded region questions 🔸 Absolute value functions 🔸 Previous year & NCERT based MCQs 🎯 यह वीडियो खास तौर पर उन छात्रों के लिए है जो: ✔️ Board Exam 2025/2026 की तैयारी कर रहे हैं ✔️ Application of Integrals को conceptually strong बनाना चाहते हैं ✔️ One Shot Revision चाहते हैं 👉 वीडियो को Like, Share और Subscribe ज़रूर करें ताकि Maths आसान लगे 💯 📌 Infinix Classes Maths by Faiz Sir #applicationofintegrals #class12maths #chapter8maths #areaundercurve #ncertmaths #cbseclass12 #mathsbyfaizsir #infinixclasses #oneshotmaths #boardexampreparation #cbse2025 #IntegralsMaths application of integrals class 12, chapter 8 application of integrals, class 12 maths chapter 8, area under curve class 12, ncert application of integrals, cbse class 12 maths, application of integrals one shot, area under simple curves, class 12 maths by faiz sir, infinix classes maths, board exam maths, definite integrals applications, class 12 maths ncert solutions, application of integrals examples, area bounded by curves, cbse maths chapter 8 APPLICATion of INTEGRALS | Class - 12 | Chapter – 8 | NCERT | By : FAIZ SIR Introduction: Area under Simple Curves: Example: Find the area enclosed by the circle x2 + y2 = a2. Example: Find the area enclosed by the ellipse 𝒙^𝟐/𝒂^𝟐 +𝐲^𝟐/𝒃^𝟐 =𝟏. Q) Area lying in the first quadrant and bounded by the circle x2 + y2 = 4 and the lines x = 0 and x = 2 is (A) π (B) π/2 (C) π/3 (D) π/4 Q) Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is (A) 2 (B) 9/4 (C) 9/3 (D) 9/2 Example: Find the area bounded by the curve y = cosx between x = 0 and x = 2π. Q) Sketch the graph of y = | x + 3 | and evaluate ∫_(−6)^0▒〖|𝑥+3|〗dx. Q) Find the area bounded by the curve y = sinx between x = 0 and x = 2π. Q) Area bounded by the curve y = x3, the x-axis and the ordinates x = – 2 and x = 1 is (A) – 9 (B) − 15/4 (C) 15/4 (D) 17/4 Q) The area bounded by the curve y = x |x|, x-axis and the ordinates x = – 1 and x = 1 is given by (A) 0 (B) 1/3 (C) 2 /3 (D) 4/3 [Hint : y = x2 if x is greater 0 and y = – x2 if x is less than 0].