Ex 7.4, 14 - Integrate 1 / root 8 + 3x - x2 - Ex 7.4

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.4, 14 1﷮ ﷮8 + 3𝑥 − 𝑥﷮2﷯﷯﷯ Integrating the function 𝑤.𝑟.𝑡.𝑥 ﷮﷮ 1﷮ ﷮8 + 3𝑥 − 𝑥﷮2﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮8 − 𝑥﷮2﷯ − 3𝑥﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮8 − 𝑥﷮2﷯ − 2 𝑥﷯ 3﷮2﷯﷯﷯ ﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮8 − 𝑥﷮2﷯ − 2 𝑥﷯ 3﷮2﷯﷯ + 3﷮2﷯﷯﷮2﷯− 3﷮2﷯﷯﷮2﷯﷯ ﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮8 − 𝑥 − 3﷮2﷯﷯﷮2﷯− 3﷮2﷯﷯﷮2﷯﷯ ﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮8 − 𝑥 − 3﷮2﷯﷯﷮2﷯− 9﷮4﷯﷯ ﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮8 − 𝑥 − 3﷮2﷯﷯﷮2﷯ + 9﷮4﷯﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮8 + 9﷮4﷯ − 𝑥 − 3﷮2﷯﷯﷮2﷯ ﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮ 41﷮4﷯ − 𝑥 − 3﷮2﷯﷯﷮2﷯ ﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 1﷮ ﷮ ﷮41﷯﷮2﷯ ﷯﷮2﷯ − 𝑥 − 3﷮2﷯﷯﷮2﷯ ﷯﷯﷯ 𝑑𝑥 = sin﷮−1﷯﷮ 𝑥 − 3﷮2﷯﷮ ﷮41﷯﷮2﷯﷯﷯﷯ +𝐶 = sin﷮−1﷯﷮ 2𝑥 − 3﷮2﷯﷮ ﷮41﷯﷮2﷯﷯﷯﷯ +𝐶 = 𝒔𝒊𝒏﷮−𝟏﷯﷮ 𝟐𝒙 − 𝟑﷮ ﷮𝟒𝟏﷯﷯﷯﷯ +𝑪

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