Misc 1 (i) - Chapter 8 Class 12 Application of Integrals

Last updated at August 13, 2026 by

Misc 1 (i) - Find area under y = x^2, x = 1, x = 2 and x-axis - Miscellaneous

part 2 - Misc 1 (i) - Miscellaneous - Serial order wise - Chapter 8 Class 12 Application of Integrals

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Misc 1 Find the area under the given curves and given lines: (i) ๐‘ฆ = ๐‘ฅ2, ๐‘ฅ = 1, ๐‘ฅ = 2 and ๐‘ฅ-axisArea required = Area ABCD = โˆซ_๐Ÿ^๐Ÿโ–’ใ€–๐’š ๐’…๐’™ใ€— y โ†’ Equation of parabola ๐‘ฆ=๐‘ฅ^2 Thus, Area required = โˆซ_1^2โ–’ใ€–๐‘ฆ ๐‘‘๐‘ฅใ€— =โˆซ_๐Ÿ^๐Ÿโ–’ใ€–๐’™^๐Ÿ ๐’…๐’™ใ€— =[๐‘ฅ^3/3]_1^2 =1/3 [2^3โˆ’1^3 ] = 1/3 [8โˆ’1] =๐Ÿ•/๐Ÿ‘ square units

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