engineering mathematics MCQ #1560

∫(ln(x))² / x dx = ?

engineering mathematics MCQ #1560

  1. Question 1

    Q1. ∫(ln(x))² / x dx = ?

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

    Answer: (1 / 3) (ln(x))³ + C

    Explanation: Used substitution u = ln(x), du = 1 / x dx, resulting in ∫u² du = (1 / 3)u³ + C.