Misc 2 - Chapter 8 Class 12 Application of Integrals
Last updated at April 16, 2024 by Teachoo
Miscellaneous
Misc 1 (ii) Important
Misc 2 Important You are here
Misc 3 Important
Misc 4 (MCQ)
Misc 5 (MCQ) Important
Question 1 Deleted for CBSE Board 2025 Exams
Question 2 Deleted for CBSE Board 2025 Exams
Question 3 Important Deleted for CBSE Board 2025 Exams
Question 4 Deleted for CBSE Board 2025 Exams
Question 5 Deleted for CBSE Board 2025 Exams
Question 6 Important Deleted for CBSE Board 2025 Exams
Question 7 Deleted for CBSE Board 2025 Exams
Question 8 Important Deleted for CBSE Board 2025 Exams
Question 9 Important Deleted for CBSE Board 2025 Exams
Question 10 Deleted for CBSE Board 2025 Exams
Question 11 Important Deleted for CBSE Board 2025 Exams
Question 12 Deleted for CBSE Board 2025 Exams
Question 13 (MCQ) Deleted for CBSE Board 2025 Exams
Question 14 (MCQ) Important Deleted for CBSE Board 2025 Exams
Miscellaneous
Last updated at April 16, 2024 by Teachoo
Misc 2 Sketch the graph of y = |π₯+3| and evaluate β«_(β6)^0βγβπ₯+3β ππ₯γ Letβs Draw the graph y = |π+π| y = |π₯+3| = {β(π₯+3 πππ π₯+3β₯0@β(π₯+3) πππ π₯+3<0 )β€ = {β(π₯+3 πππ π₯β₯β3@β(π₯+3) πππ π₯+3<β3 )β€ Now, Required Area = β«_(βπ)^πβγβπ+πβ π πγ =β«_(β6)^(β3)βγβπ₯+3β ππ₯γ ββ«_(β3)^0βγβπ₯+3β ππ₯γ =β«_(βπ)^(βπ)βγβ(π+π) π π +β«_(βπ)^πβγ(π+π) π πγγ =[βπ₯^2/2β3π₯]_(β6)^(β3) +[π₯^2/2+3π₯]_(β3)^( 0) =[(β(β3)^2)/( 2)β3 Γ (β3)]β[(β(β6)^2)/( 2)β3(β6)] +[0^2/2+3 Γ0]β[(β3)^2/2+3 Γ (β3)] =[(β9)/( 2)β(β9)]β[(β36)/( 2)β(β18)]+[0]β[9/2β9] =(β9)/2+9+0β9/2+9 =β9+18 =π square units