Question Detail
Question
Solve ∫1/(x ln x) dx
Correct Answer
Option C is the correct answer.
Detailed Explanation
To solve ∫1/(x ln x) dx, use u-substitution.Let u = ln x.Then, the differential du = (1/x) dx.Substitute these into the integral:∫(1/u) duThis is a standard integral:= ln|u| + CSubstitute back u = ln x:= ln|ln x| + CThis matches option C.
Hint
Consider a substitution for ln x. What is its derivative?