Evaluate ∫1xlogx dx - Mathematics and Statistics

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Sum

Evaluate `int 1/(x log x)  "d"x`

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Solution

Let I = `int 1/(x log x)  "d"x`

Put log x = t

∴ `1/x  "d"x` = dt

∴ I = `int1/"t"  "dt"` = log|t| + c

∴ I = log |log x| + c

  Is there an error in this question or solution?
Chapter 1.5: Integration - Q.4

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