Misc 3 - Chapter 8 Class 12 Application of Integrals
Last updated at April 16, 2024 by Teachoo
Miscellaneous
Misc 1 (ii) Important
Misc 2 Important
Misc 3 Important You are here
Misc 4 (MCQ)
Misc 5 (MCQ) Important
Question 1 Deleted for CBSE Board 2024 Exams
Question 2 Deleted for CBSE Board 2024 Exams
Question 3 Important Deleted for CBSE Board 2024 Exams
Question 4 Deleted for CBSE Board 2024 Exams
Question 5 Deleted for CBSE Board 2024 Exams
Question 6 Important Deleted for CBSE Board 2024 Exams
Question 7 Deleted for CBSE Board 2024 Exams
Question 8 Important Deleted for CBSE Board 2024 Exams
Question 9 Important Deleted for CBSE Board 2024 Exams
Question 10 Deleted for CBSE Board 2024 Exams
Question 11 Important Deleted for CBSE Board 2024 Exams
Question 12 Deleted for CBSE Board 2024 Exams
Question 13 (MCQ) Deleted for CBSE Board 2024 Exams
Question 14 (MCQ) Important Deleted for CBSE Board 2024 Exams
Miscellaneous
Last updated at April 16, 2024 by Teachoo
Misc 3 Find the area bounded by the curve π¦=sinβ‘π₯ between π₯=0 and π₯=2π Area Required = Area OAB + Area BCD Area OAB = β«_0^πβγπ¦ ππ₯γ π¦βsinβ‘π₯ = β«_π^π βγπ¬π’π§β‘π π πγ = [βcosβ‘π₯ ]_β( @0)^π =β [cosβ‘πβcosβ‘0 ] =β[β1β1] =β[β2] = 2 Area BCD = β«_π^2πβγπ¦ ππ₯γ = β«_π ^ππ βγπππβ‘π π πγ = [βcosβ‘π₯ ]_β( @ @π)^2π =β [cosβ‘2πβcosβ‘π ] =β[1β(β1)] = β 2 Since area cannot be negative, Area BCD = 2 Hence, Area Required = Area OAB + Area BCD = 2+2 = π square units