Ex 7.7, 10 - Root 1 + x2 dx is equal to - Class 12 - Ex 7.7

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  1. Class 12
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Ex7.7, 10 ﷮﷮ ﷮1+𝑥2﷯ dx ﷯ is equal to • 𝑥﷮2﷯ ﷮1+𝑥2﷯ + 1﷮2﷯ log 𝑥+ ﷮1+𝑥2﷯﷯ + C • 2﷮2﷯ (1+𝑥2) 2﷮3﷯ + C • 2﷮2﷯ x (1+𝑥2) 3﷮2﷯ + C • 𝑥2﷮2﷯ ﷮1+𝑥2﷯ + 1﷮2﷯ x2 log 𝑥+ ﷮1+𝑥2﷯﷯ + C ﷮﷮ ﷮1+ 𝑥﷮2﷯﷯ 𝑑𝑥﷯ = ﷮﷮ ﷮ 𝑥﷮2﷯+ 1﷯﷮2﷯﷯ 𝑑𝑥﷯ = 𝑥﷮2﷯ ﷮ 𝑥﷮2﷯+ 1﷯﷮2﷯﷯+ 1﷯﷮2﷯﷮2﷯𝑙𝑜𝑔 𝑥+ ﷮ 𝑥﷮2﷯+ 1﷯﷮2﷯﷯﷯+𝐶 = 𝑥﷮2﷯ ﷮1+ 𝑥﷮2﷯﷯+ 1﷮2﷯𝑙𝑜𝑔 𝑥+ ﷮ 𝑥﷮2﷯+1﷯﷯+𝐶 ∴ Option A is correct.

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