engineering mathematics MCQ #3714

The decomposition of (x + 1) / x(x² + 4) is

engineering mathematics MCQ #3714

  1. Question 1

    Q1. The decomposition of (x + 1) / x(x² + 4) is

    • A) 1 / 4x + (-x + 1) / 4(x² + 4)
    • B) 1 / 4x + (x + 1) / 4(x² + 4)
    • C) 1 / x + 1 / (x² + 4)
    • D) 1 / 4x - (x + 1) / 4(x² + 4)

    Answer: 1 / 4x + (-x + 1) / 4(x² + 4)

    Explanation: Decomposing into partial fractions: (x + 1) / x(x² + 4) = A / x + (Bx + C) / (x² + 4), solving for A, B, and C.