Misc 1 - Find area (i) y = x2, x = 1,2 - Chapter 8 Class 12 - Area bounded by curve and horizontal or vertical line

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  1. Chapter 8 Class 12 Application of Integrals
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Misc 1 - Chapter 8 Class 12 Application of Integrals - Teachoo Find the area under the given curves and given lines: (i) ๐‘ฆ = ๐‘ฅ2, ๐‘ฅ = 1, ๐‘ฅ = 2 and ๐‘ฅ-axis Area required = Area ABCD = โˆซ_1^2โ–’ใ€–๐‘ฆ ๐‘‘๐‘ฅใ€— y โ†’ equation of parabola ๐‘ฆ=๐‘ฅ^2 =โˆซ_1^2โ–’ใ€–๐‘ฅ^2 ๐‘‘๐‘ฅใ€— =[๐‘ฅ^3/3]_1^2 =1/3 [2^3โˆ’1^3 ] = 1/3 [8โˆ’1] =7/3 Misc 1 Find the area under the given curves and given lines: (ii) ๐‘ฆ= ๐‘ฅ4, ๐‘ฅ = 1, ๐‘ฅ = 5 and ๐‘ฅ-axis Area required = Area ABCD = โˆซ_1^5โ–’ใ€–๐‘ฆ ๐‘‘๐‘ฅใ€— Here, ๐‘ฆ=๐‘ฅ^4 =โˆซ_1^5โ–’ใ€–๐‘ฅ^4 ๐‘‘๐‘ฅใ€— =[๐‘ฅ^5/5]_1^5 =5^5/5โˆ’1^5/5 =5^4โˆ’1/5 = 625 โ€“ 0.2 = 624.8

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.