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Ex 7.4, 12 - Integrate 1 / root 7 - 6x - x2   - Integration by specific formulaes - Formula 5

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.4, 12 1﷮ ﷮7 − 6𝑥 − 𝑥﷮2﷯﷯﷯ Integrating the function 𝑤.𝑟.𝑡.𝑥 = ﷮﷮ 1﷮ ﷮7 − 6𝑥 − 𝑥﷮2﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮7 − 6𝑥 + 𝑥﷮2﷯﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮7 − 𝑥﷮2﷯ + 6𝑥﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮7 − 𝑥﷮2﷯ + 2 𝑥﷯ 3﷯﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮7 − 𝑥﷮2﷯ + 2 𝑥﷯ 3﷯ + 3﷯﷮2﷯− 3﷯﷮2﷯﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮7 − 𝑥 + 3﷯﷮2﷯ − 3﷯﷮2﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮7 + 9 − 𝑥 + 3﷯﷮2﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮16 − 𝑥 + 3﷯﷮2﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮ 4﷯﷮2﷯ − 𝑥 + 3﷯﷮2﷯﷯﷯﷯ 𝑑𝑥 = 𝒔𝒊𝒏﷮−𝟏﷯﷮ 𝒙 + 𝟑﷮𝟒﷯﷯﷯ +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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