Partial Fractions

Express \displaystyle \frac{1}{x^{4}+1} in the form \displaystyle \frac{Ax+B}{x^{2}+x\sqrt{2}+1}+\frac{Cx+D}{x^{2}-x\sqrt{2}+1}

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Miscellaneous Examples, Question 29, p. 222)

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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