Question 8 - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 16, 2024 by Teachoo

Find the area bounded by 𝑦 = 𝑥 ² ,𝑡ℎ𝑒 𝑥 − axis and the lines 𝑥 = −1 and 𝑥 = 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 = 𝑥2, 𝑡ℎ𝑒 𝑥−axis and the lines 𝑥 = −1 and 𝑥 = 1. Since Curve is symmetric around y-axis ∴ Required Area = 2 × Area OAB = 2 × ∫1_0^1▒𝑦𝑑𝑥 = 2 × ∫1_0^1▒〖𝑥^2 𝑑𝑥〗 = 2 × [𝑥^3/3]_0^1 = 2 ×[1^3/3−0^3/3] = 𝟐/𝟑 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 and Computer Science at Teachoo

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