Integration Bee Rules

Participants will be randomly ordered at the start of each round. Participants will take turns working integrals. The first participant will have 3 minutes to evaluate an integral. If this is not done correctly then the second participant will have 1 minute on the same integral. If they fail, the third (assuming that there are at least still 3 contestants) will have 30 seconds on this integral. If all three fail then a new integral will be given to the fourth contestant and the sequence repeats. If the integral is evaluated correctly, the next participant gets a new integral and 3 minutes.
Each participant is allowed one lifeline during the competition. They may call timeout and consult with anyone in the audience for 30 seconds before proceeding. The participant cannot write during this consultation.
A round is complete when each contestant in that round has had the same number of problems (usually 1) and some contestant has correctly solved a problem.
Each participant answering an integral correctly receives one point and is allowed to advance to the next round.
Problems asked in one round will not be used in following rounds.
The participant receiving the most points is the champion.
Participants with the same number of points are considered to be tied.