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Last updated at May 29, 2018 by Teachoo
Transcript
Misc 7 Find the area enclosed by the parabola 4๐ฆ=3๐ฅ2 and the line 2๐ฆ = 3๐ฅ + 12 Area ADOEB = โซ1_(โ2)^4โใ(3/2 ๐ฅ+6) ๐๐ฅใ = [3/2 (๐ฅ^2/2)+6๐ฅ]_(โ2)^4 = [(3๐ฅ^2)/4+6๐ฅ]_(โ2)^4 = [(3(4^2))/4+6(4)] โ [(3ใ(โ2)ใ^2)/4+6(โ2)] = [12+24] โ [3โ12] = 36 + 9 = 45 Area required = Area ADOEB โ Area ADOEBC = 45 โ 18 = 27
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