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MathNet 2001 — Part 01 Question 183

Math Olympiad Vault · MathNet 2001 — Part 01

Question 183

Evaluate the definite integral
$$\int_{-1}^{+1} \frac{2 u^{332}+u^{998}+4 u^{1664} \sin u^{691}}{1+u^{666}} \, \mathrm{d}u.$$