Question 183
Evaluate the definite integral
$$\int_{-1}^{+1} \frac{2 u^{332}+u^{998}+4 u^{1664} \sin u^{691}}{1+u^{666}} \, \mathrm{d}u.$$
$$\int_{-1}^{+1} \frac{2 u^{332}+u^{998}+4 u^{1664} \sin u^{691}}{1+u^{666}} \, \mathrm{d}u.$$
Math Olympiad Vault · MathNet 2001 — Part 01