engineering mathematics MCQ #1531

∫1 / (x² + 2x + 5) dx

engineering mathematics MCQ #1531

  1. Question 1

    Q1. ∫1 / (x² + 2x + 5) dx

    • A) (1/2)tan^-1((x + 1) / 2) + C
    • B) (1/√2)tan^-1((x + 1) / √2) + C
    • C) (1/2)tan^-1((x + 1) / √2) + C
    • D) (1/√2)tan^-1((x + 1) / 2) + C

    Answer: (1/√2)tan^-1((x + 1) / √2) + C

    Explanation: Completing the square in the denominator, x² + 2x + 5 = (x + 1)² + 2², and using substitution u = (x + 1) / √2.