Indefinite Integration

Find:

    \[\int \ln{\left(x\right)}\,\mathrm{d}x\]

Sources:

[1] Burghes, D., Cassell, D., Cross, T., Deft, J., Middle, J., & Thallon, W. (1994). Pure Mathematics. Oxford, England: Heinemann Educational Books. (Example, p. 364)

[2] Gilbert, J. (1991). Guide to Mathematical Methods. Hampshire, England: Macmillan. (Examples 3.7.1: Question 7, p. 66-67)

Solution:

Use integration by parts.

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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