About

The UK University Integration Bee is an inter-university team-based integration competitions, run across several universities in the UK. In 2021, the participating universities were Cambridge, Imperial, Durham, Oxford and Warwick with Round 2 held at Cambridge. In 2022, St Andrews, Manchester, UCL and Bath have joined. The UK edition of the competition is sponsored by Jane Street. In 2023, the competition has become international with the National University of Singapore joining us - hosting their own version of the event in Singapore.

The 2023 Integration Bee is written by Vishal Gupta, Alfie Jones, Yuepeng Alex Yang and Sharvil Kesarwani. This website was designed by Adam Kelly.

We also have a team for testing and marking the problems used in our competitions. Last year these were Adam Kelly, Conor Doherty, Martin Von Hodenberg, Hassan Raja, Joe Devine, Barnaby Smith and Amir Rahman.

The competition is in two parts: Round 1 which is hosted at each university and Round 2 which is held at Cambridge. For NUS, both Round 1 and Round 2 will take place in NUS.

In Round 1, you will receive a collection of integrals which you need to solve as a team of up to 3. While we can't say for sure what solving the integrals will involve, you will find some helpful information below to help prepare!

In Round 2, teams who did sufficiently well in Round 1 will be invited to Cambridge to compete in a three part competition, featuring group, crossintegral and relay rounds.

Register

If you want to take part in the competition, your university maths society will send an email with information before Round 1.

If you aren't from a participating university, you can join the discord server where Round 1 will be held online in December.

Join Server

Syllabus & Contest Information

Round 1 takes place in early November with the date depending on the university.

There will be 30 problems, covering a wide range of difficulty and integration techniques. There will be both definite integrals (where only the numerical answer matters) and indefinite integrals - most integrals will be definite.

To get a feel for the type of techniques that may be involved in the problems, the syllabus can be found here. The best way to practice is looking at problems from previous competitions, which you can find below. I particularly recommend the Sample Problems.

Round 2 in 2023 took place on Monday 6th February in the Centre for Mathematical Sciences in Cambridge. There were three separate rounds, Group, Crossnumber and Relay - information on these can be found below in the Resources section in the Previous Competitions link.