engineering mathematics MCQ #1515

∫x² / √(x² + 4) dx

engineering mathematics MCQ #1515

  1. Question 1

    Q1. ∫x² / √(x² + 4) dx

    • A) (x/2)√(x² + 4) - 2ln|x + √(x² + 4)| + C
    • B) (x/2)√(x² + 4) + 2ln|x + √(x² + 4)| + C
    • C) (x/4)√(x² + 4) + 2ln|x + √(x² + 4)| + C
    • D) (x/4)√(x² + 4) - 2ln|x + √(x² + 4)| + C

    Answer: (x/2)√(x² + 4) - 2ln|x + √(x² + 4)| + C

    Explanation: Using trigonometric substitution x = 2tan(θ), dx = 2sec²(θ)dθ, and simplifying.