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Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Find the area bounded by 𝑦 = π‘₯ 2 ,π‘‘β„Žπ‘’ π‘₯ βˆ’ axis and the lines π‘₯ = βˆ’1 and π‘₯ = 1.

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Find the area bounded by y = x^2, the x-axis and lines x = -1 and x=1

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Question 8 Find the area bounded by 𝑦 = π‘₯2, π‘‘β„Žπ‘’ π‘₯βˆ’axis and the lines π‘₯ = βˆ’1 and π‘₯ = 1. Since Curve is symmetric around y-axis ∴ Required Area = 2 Γ— Area OAB = 2 Γ— ∫1_0^1▒𝑦𝑑π‘₯ = 2 Γ— ∫1_0^1β–’γ€–π‘₯^2 𝑑π‘₯γ€— = 2 Γ— [π‘₯^3/3]_0^1 = 2 Γ—[1^3/3βˆ’0^3/3] = 𝟐/πŸ‘ square units

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