engineering mathematics MCQ #3713

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

engineering mathematics MCQ #3713

  1. Question 1

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

    • A) 1 / 2(x + 1) + (x - 1) / 2(x² + 1)
    • B) 1 / (x + 1) + 1 / (x² + 1)
    • C) 1 / 2(x + 1) - (x + 1) / 2(x² + 1)
    • D) 1 / 2(x + 1) + (x + 1) / 2(x² + 1)

    Answer: 1 / 2(x + 1) + (x - 1) / 2(x² + 1)

    Explanation: Using partial fraction decomposition for irreducible quadratic factors: 1 / (x + 1)(x² + 1) = A / (x + 1) + (Bx + C) / (x² + 1).