Find the area bounded by 𝑦 = π‘₯ 2 ,𝑑ℎ𝑒 π‘₯ − axis and the lines π‘₯ = −1 and π‘₯ = 1.

 

Find the area bounded by y = x^2, the x-axis and lines x = -1 and x=1

 

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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.