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Ex 7.4, 11 - Integrate 1 / 9x2 + 6x + 5 - Class 12 NCERT - Integration by specific formulaes - Formula 3

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

Ex 7.4, 11 1﷮9 𝑥﷮2﷯ + 6𝑥 + 5﷯ Integrating the function 𝑤.𝑟.𝑡.𝑥 ﷮﷮ 1﷮9 𝑥﷮2﷯ + 6𝑥 + 5﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮9 𝑥﷮2﷯ + 6𝑥﷮9﷯ + 5﷮9﷯﷯﷯﷯ 𝑑𝑥 = 1﷮9﷯ ﷮﷮ 1﷮ 𝑥﷮2﷯ + 2𝑥﷮3﷯ + 5﷮9﷯﷯﷯ 𝑑𝑥 = 1﷮9﷯ ﷮﷮ 1﷮ 𝑥﷮2﷯ + 2 𝑥﷯ 1﷮3﷯﷯ + 5﷮9﷯﷯﷯ 𝑑𝑥 = 1﷮9﷯ ﷮﷮ 1﷮ 𝑥﷮2﷯ + 2 𝑥﷯ 1﷮3﷯﷯ + 1﷮3﷯﷯﷮2﷯− 1﷮3﷯﷯﷮2﷯+ 5﷮9﷯﷯﷯ 𝑑𝑥 = 1﷮9﷯ ﷮﷮ 1﷮ 𝑥 + 1﷮3﷯﷯﷮2﷯− 1﷮9﷯ + 5﷮9﷯﷯﷯ 𝑑𝑥 = 1﷮9﷯ ﷮﷮ 1﷮ 𝑥 + 1﷮3﷯﷯﷮2﷯ + 4﷮9﷯﷯﷯ 𝑑𝑥 = 1﷮9﷯ ﷮﷮ 1﷮ 𝑥 + 1﷮3﷯﷯﷮2﷯ + 2﷮3﷯﷯﷮2﷯﷯﷯ 𝑑𝑥 = 1﷮9﷯ 1﷮ 2﷮3﷯﷯ 𝑡𝑎𝑛﷮−1﷯ ﷮ 𝑥 + 1﷮3﷯﷮ 2﷮3﷯﷯﷯﷯﷯+𝐶 = 1﷮9﷯ 3﷮2﷯ 𝑡𝑎𝑛﷮−1﷯ ﷮ 3𝑥 + 1﷮3﷯﷮ 2﷮3﷯﷯﷯﷯﷯+𝐶 = 1﷮9﷯ 3﷮2﷯ 𝑡𝑎𝑛﷮−1﷯ ﷮ 3𝑥 + 1﷮2﷯﷯﷯﷯+𝐶 = 𝟏﷮𝟔﷯ 𝒕𝒂𝒏﷮−𝟏﷯ ﷮ 𝟑𝒙 + 𝟏﷮𝟐﷯﷯﷯ +𝑪

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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