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Ex 7.7, 3 - Integrate root x2 + 4x + 6 - Chapter 7 NCERT - Integration by specific formulaes - Formula 7

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex7.7, 3 ﷮𝑥2+4𝑥+6﷯ ﷮﷮ ﷮𝑥2+4𝑥+6﷯ .𝑑𝑥﷯ = ﷮﷮ ﷮𝑥2+2 𝑥﷯ 2﷯+6﷯ .𝑑𝑥﷯ = ﷮﷮ ﷮𝑥2+2 𝑥﷯ 2﷯+ 2﷯﷮2﷯− 2﷯﷮2﷯+6﷯ 𝑑𝑥﷯ = ﷮﷮ ﷮𝑥2+2 𝑥﷯ 2﷯+ 2﷯﷮2﷯−4+6﷯ 𝑑𝑥﷯ = ﷮﷮ ﷮ 𝑥+2﷯﷮2﷯+2﷯ 𝑑𝑥﷯ = ﷮﷮ ﷮ 𝑥+2﷯﷮2﷯+ ﷮2﷯﷯﷮2﷯﷯ 𝑑𝑥﷯ = 𝑥+2﷮2﷯ ﷮ 𝑥+2﷯﷮2﷯+ ﷮2﷯﷯﷮2﷯﷯+ ﷮2﷯﷯﷮2﷯﷮2﷯𝑙𝑜𝑔 𝑥+2+ ﷮ 𝑥+2﷯﷮2﷯+ ﷮2﷯﷯﷮2﷯﷯﷯+𝐶 = 𝑥+2﷮2﷯ ﷮ 𝑥﷮2﷯+4𝑥+4+2﷯+ 2﷮2﷯𝑙𝑜𝑔 𝑥+2+ ﷮ 𝑥﷮2﷯+4𝑥+4+2﷯﷯+𝐶 = 𝒙 + 𝟐﷮𝟐﷯ ﷮ 𝒙﷮𝟐﷯+𝟒𝒙+𝟔﷯+𝒍𝒐𝒈 𝒙+𝟐+ ﷮ 𝒙﷮𝟐﷯+𝟒𝒙+𝟔﷯﷯+𝑪

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