Ex 7.1, 12 - Integrate x3 + 3x + 4 / root(x) dx - Ex 7.1

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.1, 12 ﷮﷮ 𝑥﷮3﷯+ 3𝑥 + 4﷮ ﷮𝑥﷯﷯﷯𝑑𝑥 ﷮﷮ 𝑥﷮3﷯+ 3𝑥 + 4﷮ ﷮𝑥﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥﷮3﷯﷮ ﷮𝑥﷯﷯ + 3𝑥﷮ ﷮𝑥﷯﷯ + 4﷮ ﷮𝑥﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥﷮3﷯﷮ 𝑥﷮ 1﷮2﷯﷯﷯ + 3𝑥﷮ 𝑥﷮ 1﷮2﷯﷯﷯ + 4﷮ 𝑥﷮ 1﷮2﷯﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥﷮3 − 1﷮2﷯﷯ +3 𝑥﷮1 − 1﷮2﷯﷯ +4 𝑥﷮− 1﷮2﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥﷮ 5﷮2﷯﷯ +3 𝑥﷮ 1﷮2﷯﷯ +4 𝑥﷮− 1﷮2﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥﷮ 5﷮2﷯﷯﷯𝑑𝑥+3 ﷮﷮ 𝑥﷮ 1﷮2﷯﷯﷯𝑑𝑥+4 ﷮﷮ 𝑥﷮− 1﷮2﷯﷯﷯𝑑𝑥 = 𝑥﷮ 5﷮2﷯ + 1﷯﷮ 5﷮2﷯ + 1﷯ + 3 𝑥﷮ 1﷮2﷯ + 1﷯﷮ 1﷮2﷯ + 1﷯ + 4 𝑥﷮− 1﷮2﷯ + 1﷯﷮− 1﷮2﷯ + 1﷯+𝐶 = 𝑥﷮ 7﷮2﷯﷯﷮ 7﷮2﷯﷯ + 3 𝑥﷮ 3﷮2﷯ ﷯﷮ 3﷮2﷯﷯ + 4 𝑥﷮ 1﷮2﷯﷯﷮ 1﷮2﷯﷯ +𝐶 = 2 𝑥﷮ 7﷮2﷯﷯﷮7﷯+ 2 × 3 𝑥﷮ 3﷮2﷯ ﷯﷮3﷯ +4×2 𝑥﷮ 1﷮2﷯﷯+𝐶 = 𝟐 𝒙﷮ 𝟕﷮𝟐﷯﷯﷮𝟕﷯+𝟐 𝒙﷮ 𝟑﷮𝟐﷯ ﷯+𝟖 ﷮𝒙﷯+𝑪

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