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

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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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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