Differentiation

Differentiate x\ln{x} with respect to x.  Deduce:

    \[\int\ln{x}\,\textrm{d}x\]

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 2c, Question 3, p. 26)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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