Prove that there is a constant C such that
\(\displaystyle \sup_{A<B} \int_A^B \sin(x^2+ yx) \, dx \le C\)
for all y.
The best solution was submitted by Minjae Park (박민재), KSA (한국과학영재학교) 3학년. Congratulations!
Here is his Solution of Problem 2010-13.
Alternative solutions were submitted by 정진명 (수리과학과 2007학번, +3), 정성구 (수리과학과 2007학번, +3), 심규석 (수리과학과 2007학번, +3). Three incorrect solutions were submitted (서**, 정**, Ver**).
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There’s a typo mistake. In the third line of 5th page,
R≤0 should be R≥0 (the direction of inequality should be changed.)