engineering mathematics MCQ #3660

Resolve 2x / (x + 1)(x² + 1) into partial fractions.

engineering mathematics MCQ #3660

  1. Question 1

    Q1. Resolve 2x / (x + 1)(x² + 1) into partial fractions.

    • A) 1/(x + 1) + (x - 1)/(x² + 1)
    • B) 1/(x + 1) + (1 - x)/(x² + 1)
    • C) -1/(x + 1) + (x + 1)/(x² + 1)
    • D) -1/(x + 1) + (x - 1)/(x² + 1)

    Answer: -1/(x + 1) + (x + 1)/(x² + 1)

    Explanation: Partial fractions: 2x/((x+1)(x²+1)) = -1/(x+1) + (x+1)/(x²+1) after solving for constants.