engineering mathematics MCQ #3680

engineering mathematics MCQ #3680

1. Question 1

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

   • A) 1 / 2(x + 1) + (-x + 1) / 2(x² + 1)
   • B) -1 / 2(x + 1) + (x + 1) / 2(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: Decompose 1 / (x + 1)(x² + 1) into A / (x + 1) + (Bx + C) / (x² + 1), then equate coefficients.