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Area bounded by curve and horizontal or vertical line
Ex 8.1, 7
Ex 8.1, 1
Ex 8.1, 11
Example 11
Ex 8.1, 2 Important
Ex 8.1, 8 Important
Example 3
Misc 3
Ex 8.1, 13 (MCQ) Important
Misc 1 (i)
Ex 8.1, 3
Example 5 Important
Misc 5 Important
Example 13 Important Deleted for CBSE Board 2023 Exams
Example 12
Misc 16 (MCQ) You are here
Misc 17 (MCQ) Important
Area bounded by curve and horizontal or vertical line
Last updated at Aug. 11, 2021 by Teachoo
Misc 16 Area bounded by the curve π¦=π₯3, the π₯-axis and the ordinates π₯ = β 2 and π₯ = 1 is (A) β 9 (B) (β15)/4 (C) 15/4 (D) 17/4 Area Required = Area ABO + Area DCO Area ABO Area ABO =β«_(β2)^0βγπ¦ ππ₯γ Here, π¦=π₯^3 Therefore, Area ABO =β«_(β2)^0βγπ₯^3 ππ₯γ γ=[π₯^4/4]γ_(β2)^0 =1/4 [0β(β2)^4 ] =1/4 Γ (β16) =β4 Since Area is always positive, Area ABO = 4 Area DCO Area DCO = β«_0^1βγπ¦ ππ₯γ =β«_0^1βγπ₯^3 ππ₯γ =[π₯^4/4]_0^1 =1/4 [1^3β0^3 ] =1/4 β΄ Area Required = Area ABO + Area DCO =4+1/4 =17/4 β΄ D is the Correct Option