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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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.