Ex 7.7, 4 - Integrate root x2 + 4x + 1 - Chapter 7 NCERT - Ex 7.7

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

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