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Find the area bounded by π¦ = π₯
^{
2
}
,π‘βπ π₯ − axis and the lines π₯ = −1 and π₯ = 1.

Last updated at Oct. 26, 2020 by Teachoo

Transcript

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

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Class 12

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.