Definite Integration

Find:

    \[\int_{0}^{1} \tan^{-1}{x}\,\mathrm{d}x\]

Source: Anton, H. (1984). Calculus with Analytic Geometry (2nd ed.). New York: John Wiley & Sons. (Example 4, p. 479)

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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