Question Detail
Question
Solve ∫ (1 / (x ln x)) dx
Correct Answer
Option C 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 can be rewritten as ∫ (1/ln x) * (1/x) dx.Substitute u and du: ∫ (1/u) du.Integrating 1/u with respect to u gives ln |u| + C.Substitute back u = ln x: ln |ln x| + C.
Hint
Consider a u-substitution where u = ln x.