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Evaluate ∫1xlogx dx - Mathematics and Statistics

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प्रश्न

Evaluate `int 1/(x log x)  "d"x`

बेरीज
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उत्तर

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

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