engineering mathematics MCQ #1569

∫(x + 1) / (x² + 2x + 1) dx = ?

engineering mathematics MCQ #1569

  1. Question 1

    Q1. ∫(x + 1) / (x² + 2x + 1) dx = ?

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

    Answer: ln|x + 1| + C

    Explanation: Since x² + 2x + 1 = (x + 1)², the integral simplifies to ∫(x + 1) / (x + 1)² dx = ∫1 / (x + 1) dx.