engineering mathematics MCQ #1524

∫1 / (x + √(x² + 1)) dx

engineering mathematics MCQ #1524

  1. Question 1

    Q1. ∫1 / (x + √(x² + 1)) dx

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

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

    Explanation: Using substitution x = sinh(u), dx = cosh(u)du, and simplifying.