Definite Integration

Evaluate \displaystyle \int_{-\frac{1}{2}}^{\frac{1}{2}} \frac{x^{2}}{\left(1+x\right)^{2}}\,\textrm{d}x.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Miscellaneous Examples, Question 15(ii), p. 221)

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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