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Ex 7.1, 21 - Anti derivative of root (x) + 1/root x equals - Ex 7.1

Ex 7.1, 21 - Chapter 7 Class 12 Integrals - Part 2

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Ex 7.1, 21 The anti derivative of ﷮𝑥﷯+ 1﷮ ﷮𝑥﷯﷯﷯ equals (A) 1﷮3﷯ x﷮ 1﷮3﷯﷯ + 2x 1﷮2﷯ + C (B) 2﷮3﷯ x 2﷮3﷯ + 1﷮2﷯ x2 + C (c) 2﷮3﷯ x 3﷮2﷯ +2x 1﷮2﷯ + C (D) 2﷮3﷯ x 3﷮2﷯ + 1﷮2﷯ x 1﷮2﷯ + C ﷮﷮ ﷮𝑥﷯+ 1﷮ ﷮𝑥﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥﷮ 1﷮2﷯﷯+ 1﷮ 𝑥﷮ 1﷮2﷯﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥﷮ 1﷮2﷯﷯+ 𝑥﷮ −1﷮2﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥﷮ 1﷮2﷯﷯﷯𝑑𝑥+ ﷮﷮ 𝑥﷮ −1﷮2﷯﷯﷯𝑑𝑥 = 𝑥﷮ 1﷮2﷯ + 1﷯﷮ 1﷮2﷯ + 1﷯ + 𝑥﷮ −1﷮2﷯ + 1﷯﷮ −1﷮2﷯ + 1﷯ + 𝐶 = 𝑥﷮ 3﷮2﷯﷯﷮ 3﷮2﷯﷯ + 𝑥﷮ 1﷮2﷯﷯﷮ 1﷮2﷯﷯ + 𝐶 = 2﷮3﷯ 𝑥﷮ 3﷮2﷯﷯ +2 𝑥﷮ 1﷮2﷯﷯+ 𝐶 ∴ Option (C) is correct .

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.