The first link below leads to the control html/javascript file for our Integration Bee 2025, the first one we ran at the Kent State University. It is fully interactive (you are in the shoes of the person administering the competition), so you can see (or hide) all problems, solutions, etc. There may be some glitches with Mathjax in some versions of Firefox and other browsers, so the recommended browser is Google Chrome; that is what we actually used during the competition event, and it should display everything correctly (at least until the next update the software developers are so prone to introduce new exciting mistakes into), but even when using it, you may want to play with the browser window height to width ratio a bit to get a really good layout on some slides. If you want just to take a quick look on all the integration problems together without the interactive layout, click here.
The controls include the timer, the main control board, and the score sheet. The way to operate them is as follows (WARNING! Read the operating instructions to the end before starting to click!)
The timer: you can choose between 2 minutes, 4 minutes, and 5 minutes time periods. Just click on the button with the time period you want and the timer (the digital clock to the right of the buttons) will start. The timer buttons themselves will then be disabled until the time period ends, at which point the clock will signal (we are not going to spoil the fun telling how exactly, but make sure your sound is on when trying it), and the timer control buttons will become available again. We used the 2 minute time limit for the first round problems, the 4 minute one for the second round, and 5 minute one for the third (hardest) round.
The main control board: It is located right below the clock and has 4 buttons. The first three (left to right) are "Next", "Previous", and "Solution". They allow you to navigate within a single round. When the round is open, to show the next problem or question, click "Next", to show the previous one, click "Previous", and to show the answer/solution to the currently displayed question click "Solution". The rightmost button allows you to open the next round and its name changes as you go. It is clickable only when the last question of the current round is displayed on the screen (at this point the "Next" button won't do anything until the new round is open by the rightmost button click). Once the new round is open, the "Next" button is enabled again and the rightmost button is disabled until the end of the newly opened round is reached. Initially the navigation buttons are disabled and the rightmost one says "Rules". Click on it and you'll be able to navigate through the competition rules (which can be thought of as round 0) presented in the question/answer format (use the "Solution" button to see the answers, as usual).
The score sheet: (you may be interested in this one only if you run an actual competition) It starts as just one input cell "Number of teams" on the right of the clock. Once you type the number in (there is no protection against the abuse of common sense here, so if you type in a few billions, the effect may be unpredictable, but any 2-digit decimal is fine) and click 'Enter' on your computer keyboard, the score table gets created. The way to enter the scores (we did it at the end of each round) is to put the common point value of the problems in the current round into the leftmost input cell in the bottom row, then to type the number of problems solved by each team into the input cell (an empty cell is interpreted as 0), and to click the "update scores" button above the table. The highest 3 score values will be highlighted with gold color (the first place, possibly tied), the silver color (the second place), and the bronze color (the third place). Negative entries are allowed (this is useful for making corrections) but the score highlighting just ignores them.
That's pretty much everything you should know to try the competition by yourself or with a few friends. Not all questions are integrals! Some of them are rebuses or wordplay puzzles. There are also some Easter eggs in the page layout (they were used for special effects and the side show, so some of them may make little sense to you if you accidentally discover them, though they might still be fun to watch when they pop up). Enjoy!
The second link is to the .pdf file of the Pi booklet we created for the Pi-day (March 14). It is not directly related to the Integration Bee, but we thought that giving you one extra opportunity to smile won't hurt. The pictures there were created by chatGPT, whatever its name at the moment of creation was, and we are thankful to the AI for its artwork: though we, probably, could count the fingers on a human hand a bit better, we would not be able to make our pictures so expressive!