Find the area bounded by π¦ = π₯ 2 ,π‘ℎπ π₯ − axis and the lines π₯ = −1 and π₯ = 1.
CBSE Class 12 Sample Paper for 2021 Boards
CBSE Class 12 Sample Paper for 2021 Boards
Last updated at Dec. 16, 2024 by Teachoo
Question 8 Find the area bounded by π¦ = π₯2, π‘βπ π₯βaxis and the lines π₯ = β1 and π₯ = 1. Since Curve is symmetric around y-axis β΄ Required Area = 2 Γ Area OAB = 2 Γ β«1_0^1βπ¦ππ₯ = 2 Γ β«1_0^1βγπ₯^2 ππ₯γ = 2 Γ [π₯^3/3]_0^1 = 2 Γ[1^3/3β0^3/3] = π/π square units