engineering mathematics MCQ #1512

∫(2x + 1) / (x² + x + 1) dx

engineering mathematics MCQ #1512

  1. Question 1

    Q1. ∫(2x + 1) / (x² + x + 1) dx

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

    Answer: ln|x² + x + 1| + C

    Explanation: Using substitution u = x² + x + 1, du/dx = 2x + 1, hence ∫(2x + 1) / (x² + x + 1) dx = ∫du/u = ln|u| + C.