Question Detail

MTH 102 MTH 102 Past Questions Objective Question

Question

Solve ∫ (ln x / x) dx
Options
A eˣ / x
B ln x / x
C (ln x - 1)
D (ln x)² / 2
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

We can solve this integral using u-substitution.Let u = ln x.Then du = (1/x) dx.The integral becomes ∫ u du.Integrating u with respect to u gives u²/2 + C.Substitute back u = ln x: (ln x)² / 2 + C.

Hint

Consider a u-substitution where u = ln x.

Question Info