engineering mathematics MCQ #3667

The partial fraction decomposition of 1 / (x² - 1) is

engineering mathematics MCQ #3667

  1. Question 1

    Q1. The partial fraction decomposition of 1 / (x² - 1) is

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

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

    Explanation: First factor denominator, then apply partial fraction decomposition: 1 / (x - 1)(x + 1) = A/(x - 1) + B/(x + 1).