The integrals and answers can be found at https://math.mit.edu/~yyao1/pdf/2023_finals.pdf
Playlist for the full event: https://www.youtube.com/playlist?list=PLL2kM_tcSHFryncBkm_hGdfCCXxBWOccx
0:00 Introduction
0:36 Problem 1
5:34 Problem 2
10:09 Problem 3
16:28 Problem 4
21:25 Problem 5