engineering mathematics MCQ #1580

∫x / (x + 1) dx = ? on 1 / 2 to 1

engineering mathematics MCQ #1580

  1. Question 1

    Q1. ∫x / (x + 1) dx = ? on 1 / 2 to 1

    • A) 1 / 2 - ln(3 / 2)
    • B) 1 / 2 + ln(3 / 2)
    • C) 1 - ln(2)
    • D) 1 + ln(2)

    Answer: 1 / 2 - ln(3 / 2)

    Explanation: ∫x / (x + 1) dx = ∫1 - 1/(x+1) dx = x - ln|x+1|; evaluate from 1/2 to 1.