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Ex 7.4, 24 - Integration dx / x2 + 2x + 2 equals - Ex 7.4

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.4, 24 ﷮﷮ 𝑑𝑥﷮ 𝑥﷮2﷯ + 2𝑥 + 2﷯﷯ equals A. x tan−1 (x + 1) + C B. tan− 1 (x + 1) + C C. (x + 1) tan−1 x + C D. tan−1 x + C ﷮﷮ 𝑑𝑥﷮ 𝑥﷮2﷯ + 2𝑥 + 2﷯﷯ = ﷮﷮ 𝑑𝑥﷮ 𝑥﷮2﷯ + 2 𝑥﷯ 1﷯ + 2﷯﷯ = ﷮﷮ 𝑑𝑥﷮ 𝑥﷮2﷯ + 2 𝑥﷯ 1﷯ + 1﷯﷮2﷯ − 1﷯﷮2﷯ + 2﷯﷯ = ﷮﷮ 𝑑𝑥﷮ 𝑥 + 1﷯﷮2﷯ − 1﷯﷮2﷯ + 2﷯﷯ = ﷮﷮ 𝑑𝑥﷮ 𝑥 + 1﷯﷮2﷯ − 1 + 2﷯﷯ = ﷮﷮ 𝑑𝑥﷮ 𝑥 + 1﷯﷮2﷯ + 1﷯﷮2﷯﷯﷯ = 1﷮1﷯ 𝑡𝑎𝑛﷮−1﷯ ﷮ 𝑥 + 1﷯﷮1﷯﷯ +𝐶 = 𝑡𝑎𝑛﷮−1﷯ ﷮ 𝑥+1﷯﷯ +𝐶 ∴ Option B is correct answer .

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