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For x > 1, the substitution t = ln x turns dx/(x ln x) into dt/t. The integral is
Aln|ln x| + C
B(ln x)^2 + C
C1/ln x + C
Dln x + C
Answer & Solution
Correct answer: A. ln|ln x| + C
Putting t = ln x gives dt = dx/x, so the integral becomes the integral of dt/t.
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