Find the area bounded by 𝑦 = π‘₯ 2 ,π‘‘β„Žπ‘’ π‘₯ − axis and the lines π‘₯ = −1 and π‘₯ = 1.

 

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  1. Class 12
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Transcript

Question 8 Find the area bounded by 𝑦 = π‘₯2, π‘‘β„Žπ‘’ π‘₯βˆ’axis and the lines π‘₯ = βˆ’1 and π‘₯ = 1. Since Curve is symmetric around y-axis ∴ Required Area = 2 Γ— Area OAB = 2 Γ— ∫1_0^1▒𝑦𝑑π‘₯ = 2 Γ— ∫1_0^1β–’γ€–π‘₯^2 𝑑π‘₯γ€— = 2 Γ— [π‘₯^3/3]_0^1 = 2 Γ—[1^3/3βˆ’0^3/3] = 𝟐/πŸ‘ square units

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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.