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Misc 7 - Find area enclosed by 4y = 3x2 and line 2y = 3x + 12 - Area between curve and line

Misc 7 - Chapter 8 Class 12 Application of Integrals - Part 2
Misc 7 - Chapter 8 Class 12 Application of Integrals - Part 3
Misc 7 - Chapter 8 Class 12 Application of Integrals - Part 4
Misc 7 - Chapter 8 Class 12 Application of Integrals - Part 5
Misc 7 - Chapter 8 Class 12 Application of Integrals - Part 6

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Transcript

Misc 7 Find the area enclosed by the parabola 4𝑦=3𝑥2 and the line 2𝑦 = 3𝑥 + 12 Area ADOEB = ∫1_(−2)^4▒〖(3/2 𝑥+6) 𝑑𝑥〗 = [3/2 (𝑥^2/2)+6𝑥]_(−2)^4 = [(3𝑥^2)/4+6𝑥]_(−2)^4 = [(3(4^2))/4+6(4)] – [(3〖(−2)〗^2)/4+6(−2)] = [12+24] – [3−12] = 36 + 9 = 45 Area required = Area ADOEB – Area ADOEBC = 45 – 18 = 27

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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.