engineering mathematics MCQ #1552

∫√(1 + x²) dx = ?

engineering mathematics MCQ #1552

  1. Question 1

    Q1. ∫√(1 + x²) dx = ?

    • A) (x√(1 + x²) + ln|x + √(1 + x²)|) / 2 + C
    • B) (x√(1 + x²)) / 2 + C
    • C) x√(1 + x²) + C
    • D) √(1 + x²) + C

    Answer: (x√(1 + x²) + ln|x + √(1 + x²)|) / 2 + C

    Explanation: Applied trigonometric substitution x = tan(θ), dx = sec²(θ) dθ, and used trigonometric identities.