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Ex 7.4, 25 - Integration dx / root 9x - 4x2 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, 25 ﷮﷮ 𝑑𝑥﷮ ﷮9𝑥 − 4 𝑥﷮2﷯﷯﷯﷯ equals A. 1﷮9﷯ sin−1 9𝑥 − 8﷮8﷯﷯ + C B. 1﷮9﷯ sin−1 8𝑥 − 9﷮9﷯﷯ + C C. 1﷮3﷯ sin−1 9𝑥 − 8﷮8﷯﷯ + C D. 1﷮2﷯ sin−1 9𝑥 − 8﷮8﷯﷯ + C ﷮﷮ 𝑑𝑥﷮ ﷮9𝑥 − 4 𝑥﷮2﷯﷯﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮−4 𝑥﷮2﷯ − 9﷮4﷯ 𝑥﷯﷯﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮−4 𝑥﷮2﷯ − 2 𝑥﷯ 9﷮8﷯﷯﷯﷯﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮−4 𝑥﷮2﷯ − 2 𝑥﷯ 9﷮8﷯﷯ + 9﷮8﷯﷯﷮2﷯− 9﷮8﷯﷯﷮2﷯﷯﷯﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮−4 𝑥 − 9﷮8﷯﷯﷮2﷯− 9﷮8﷯﷯﷮2﷯﷯﷯﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮−4 9﷮8﷯﷯﷮2﷯ − 𝑥 − 9﷮8﷯﷯﷮2﷯﷯﷯﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮4﷯ ﷮ 9﷮8﷯﷯﷮2﷯ − 𝑥 − 9﷮8﷯﷯﷮2﷯﷯﷯﷯ = 1﷮ ﷮4﷯﷯ ﷮﷮ 𝑑𝑥﷮ ﷮ 9﷮8﷯﷯﷮2﷯ − 𝑥 − 9﷮8﷯﷯﷮2﷯﷯﷯﷯ = 1﷮2﷯ ﷮﷮ 𝑑𝑥﷮ ﷮ 9﷮8﷯﷯﷮2﷯ − 𝑥 − 9﷮8﷯﷯﷮2﷯﷯﷯﷯ = 1﷮2﷯ sin﷮−1﷯﷮ 𝑥 − 9﷮8﷯﷮ 9﷮8﷯﷯﷯ +𝐶1﷯ = 1﷮2﷯ sin﷮−1﷯﷮ 𝑥 − 9﷮8﷯﷮ 9﷮8﷯﷯﷯﷯ +𝐶 = 1﷮2﷯ sin﷮−1﷯﷮ 8𝑥 − 9﷮8﷯﷮ 9﷮8﷯﷯﷯ +𝐶 = 1﷮2﷯ sin﷮−1﷯﷮ 8𝑥 − 9﷮9﷯﷯ +𝐶 ∴ Option B is correct answer .

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