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Ex 7.1, 4 - Find anti derivative of (ax + b)2 - Class 12 - Ex 7.1

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Ex 7.1, 4 𝑎𝑥+𝑏﷯﷮2﷯ We know that 𝑎𝑥+𝑏﷯﷮3﷯﷯﷮′﷯=3 𝑎𝑥+𝑏﷯﷮3 − 1﷯ . 𝑑 𝑎𝑥 + 𝑏﷯﷮𝑑𝑥﷯ 𝑎𝑥+𝑏﷯﷮3﷯﷯﷮′﷯=3 𝑎𝑥+𝑏﷯﷮2﷯ 𝑎.1+0﷯ 𝑎𝑥+𝑏﷯﷮3﷯﷯﷮′﷯=3𝑎 𝑎𝑥+𝑏﷯﷮2﷯ 1﷮3𝑎﷯ 𝑎𝑥+𝑏﷯﷮3﷯﷯﷮′﷯= 𝑎𝑥+𝑏﷯﷮2﷯ 𝑎𝑥+𝑏﷯﷮2﷯= 1﷮3𝑎﷯ 𝑎𝑥+𝑏﷯﷮3﷯﷯﷮′﷯ 𝑎𝑥+𝑏﷯﷮2﷯= 1﷮3𝑎﷯ 𝑎𝑥+𝑏﷯﷮3﷯﷯﷮′﷯ ⇒ Anti derivate of 𝑎𝑥+𝑏﷯﷮2﷯= 𝟏﷮𝟑𝒂﷯ 𝒂𝒙+𝒃﷯﷮𝟑﷯

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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.