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

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  1. Chapter 8 Class 12 Application of Integrals
  2. Serial order wise
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Misc 7 Find the area enclosed by the parabola 4๐‘ฆ=3๐‘ฅ2 and the line 2๐‘ฆ = 3๐‘ฅ + 12 Area ADOEB = โˆซ1_(โˆ’2)^4โ–’ใ€–(3/2 ๐‘ฅ+6) ๐‘‘๐‘ฅใ€— = [3/2 (๐‘ฅ^2/2)+6๐‘ฅ]_(โˆ’2)^4 = [(3๐‘ฅ^2)/4+6๐‘ฅ]_(โˆ’2)^4 = [(3(4^2))/4+6(4)] โ€“ [(3ใ€–(โˆ’2)ใ€—^2)/4+6(โˆ’2)] = [12+24] โ€“ [3โˆ’12] = 36 + 9 = 45 Area required = Area ADOEB โ€“ Area ADOEBC = 45 โ€“ 18 = 27

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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