engineering mathematics MCQ #3653

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

engineering mathematics MCQ #3653

  1. Question 1

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

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

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

    Explanation: Use formula for partial fraction decomposition with irreducible quadratic factors: (x + 1) / (x² + 1) = A(x - i) + B(x + i).