Indefinite Integration

Find:

    \[\int \ln{x}\,\mathrm{d}x\]

Sources:

  • Anton, H. (1984). Calculus with Analytic Geometry (2nd ed.). New York: John Wiley & Sons. (Example 3, p. 479)
  • Backhouse, J.K., Houldsworth, S.P.T., & Cooper, B.E.D. (1971). Pure Mathematics: A Second Course (SI Edition). London: Longman. (Question 5, p. 270)
  • Mathcentre. (2010). Integration by Parts. (Example, p. 5)
  • Schwartz, A. (1960). Analytic Geometry and Calculus. New York: Holt, Rinehart and Winston. (Exercise 6.6, Question 8A — incomplete)
  • Taylor, A.E. (1959). Calculus with Analytic Geometry (Volume Two). New York: Ishi Press. (Exercises 10.5: Question 4(a), p. 349)
  • Whitehouse, A. (1990). A-Levels Pure Mathematics. London: HLT Publications. (Example, p. 511)

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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