Misc 1 (i) - Chapter 8 Class 12 Application of Integrals

Last updated at Aug. 11, 2023 by

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Misc 1 Find the area under the given curves and given lines: (i) 𝑦 = 𝑥2, 𝑥 = 1, 𝑥 = 2 and 𝑥-axisArea required = Area ABCD = ∫_𝟏^𝟐▒〖𝒚 𝒅𝒙〗 y → Equation of parabola 𝑦=𝑥^2 Thus, Area required = ∫_1^2▒〖𝑦 𝑑𝑥〗 =∫_𝟏^𝟐▒〖𝒙^𝟐 𝒅𝒙〗 =[𝑥^3/3]_1^2 =1/3 [2^3−1^3 ] = 1/3 [8−1] =𝟕/𝟑 square units

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.