engineering mathematics MCQ #1568

∫(2x) / (x² + 1) dx = ?

engineering mathematics MCQ #1568

  1. Question 1

    Q1. ∫(2x) / (x² + 1) dx = ?

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

    Answer: ln|x² + 1| + C

    Explanation: Using substitution u = x² + 1, du/dx = 2x, the integral simplifies to ∫du/u = ln|u| + C.