1. Chapter 8 Class 12 Application of Integrals
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Misc 3 - Chapter 8 Class 12 Application of Integrals

Last updated at Dec. 16, 2024 by Teachoo

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Misc 3 Find the area bounded by the curve 𝑦=sin⁑π‘₯ between π‘₯=0 and π‘₯=2πœ‹ Area Required = Area OAB + Area BCD Area OAB = ∫_0^πœ‹β–’γ€–π‘¦ 𝑑π‘₯γ€— 𝑦→sin⁑π‘₯ = ∫_𝟎^𝝅▒〖𝐬𝐒𝐧⁑𝒙 𝒅𝒙〗 = [βˆ’cos⁑π‘₯ ]_β–ˆ( @0)^πœ‹ =βˆ’ [cosβ‘πœ‹βˆ’cos⁑0 ] =βˆ’[βˆ’1βˆ’1] =βˆ’[βˆ’2] = 2 Area BCD = ∫_πœ‹^2πœ‹β–’γ€–π‘¦ 𝑑π‘₯γ€— = ∫_𝝅^πŸπ…β–’γ€–π’”π’Šπ’β‘π’™ 𝒅𝒙〗 = [βˆ’cos⁑π‘₯ ]_β–ˆ( @ @πœ‹)^2πœ‹ =βˆ’ [cos⁑2πœ‹βˆ’cosβ‘πœ‹ ] =βˆ’[1βˆ’(βˆ’1)] = – 2 Since area cannot be negative, Area BCD = 2 Hence, Area Required = Area OAB + Area BCD = 2+2 = πŸ’ square units
  1. Chapter 8 Class 12 Application of Integrals
  2. Serial order wise

    3. Miscellaneous

    Case Based Questions (MCQ) →
Case Based Questions (MCQ) →
Chapter 8 Class 12 Application of Integrals
Serial order wise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo