Integration Bee

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Bee
Flyer (pdf)
Registration
Rules
Past Problems
Photos

The 2024 High School Integration Bee is scheduled for Tuesday, April 23!

Registration for 2024 is now closed.

An Integration Bee is like a spelling bee but competitors do a type of calculus problem by finding definite and indefinite integrals.

Questions? Contact Dr. Stacey Muir (stacey.muir@scranton.edu).

2024 Integration Bee Tentative Schedule

The Bee will be held in the DeNaples Centers Ballroom (fourth floor). For directions and information on parking, click here for campus map .

4:15 – 4:30 pm: Sign in
4:30 – 4:45 pm: Review of rules
4:45 – 5:25 pm: First Round: Definite Integration Competition
5:25 – 6:00 pm: Dinner
5:45 – 6:00 pm: Raffle prizes and certificates of participation will be awarded
6:00 – 7:30 pm: Final Round: Indefinite Integration Bee

THANKS TO OUR SPONSORS

Registration

Registration for the 2024 Integration Bee is closed.

Contact Dr. Stacey Muir if you need to cancel your registration.

Please be aware if you are under the age of 18 at the time of the competition on April 23, 2024, you must be accompanied by a parent, guardian, or faculty chaperone. Additionally, you will need to provide the name and email of the person accompanying you to complete your registration. A guardian, parent, or faculty member may chaperone more than one student.

School vans and other passenger vehicles can be accommodated. Please contact Mrs. Kover ( noemi.kover@scranton.edu) to arrange.

Rules

No electronic devices (e.g. calculators, phones, smart watches, etc.), printed materials, or notes will be allowed during the competition. No coaching during either of the two rounds is permitted. We will supply scratch paper. The competitors will abide by the following rules.

Round One: Definite Integration Competition

During Round One, participants will be evaluating the same definite integrals. Each participant will be given an answer sheet and will have 2 minutes to complete a definite integral. Each definite integral will be displayed on a screen at the front of the room with a timer. By the end of the given time, participants must write a simplified answer on the answer sheet to be considered for correctness. At the end of the given time, all hands must go up and judges will grade the result immediately. It is at the discretion of the judges to disqualify an answer not written before the given time is over. This will repeat for 15 definite integrals. For each correct answer, participants will receive one raffle ticket to be entered for prizes to be drawn after dinner.

Five participants will advance to the Final Round. Those moving on will be determined by the total number of correct definite integrals. Each definite integral will be weighted though. Only in the event of a tie for the cutoff score for the Final Round will the weights be used to break the ties with those earning a higher weighted score moving on. If after this, there is still a tie for the cutoff score, we will use a second tiebreaker (explained below) for all participants at the cutoff score. Everyone moving into the Final Round will receive $25.

Tiebreaker

A Tiebreaker round will be completed separately at 5:40 p.m. as needed. All participants remaining in the tiebreaker will be required to complete the same indefinite integral in a given time. At the end of the time, if the number of those answering correctly is larger than the minimum number of spots and smaller than the maximum number of spots left available to advance to the Final Round, they will move on and the tiebreaker is over. If the number of those answering correctly exceeds the maximum number to advance, all those answering correctly will continue to the next tiebreaker problem. If the number of those answering correctly is fewer than the minimum to go on, they will advance to the Final Round and all those answering incorrectly will continue to the next tiebreaker problem.

Final Round: Indefinite Integration Bee

This part of the competition will be conducted in rounds. Each contestant remaining at the beginning of a round will attempt an integral in a given amount of time one at a time.

Contestants will be given an indefinite integral one at a time to be attempted on a whiteboard or chalkboard in the front of the room in a given amount of time (approximately 2 – 3 minutes *). If a contestant answers correctly before time expires, the contestant remains in the competition. Once every remaining contestant has attempted one problem, a round is completed. If during any round, all contestants are unable to complete the problem correctly in the time allotted, all contestants will remain in the competition for another round. The last person ** remaining wins an additional $75 and will be crowned the Integration Champion!

*The details on the exact time given to complete an integral will be announced during the introduction and review of rules at the beginning of the competition.
**If no winner has been determined by 7:10 p.m., we will move into a tie breaker with all finalists still remaining at that time.

Past problems

Previous Integration Bee Problems

The countdown timer used in these files functions properly only on select pdf readers, e.g., and work.

Types of Integrals

Integrands will only be real-valued functions of a single variable. The organizers will have full discretion as to what integrals will be issued throughout the contest and to the correctness of the answer.

The integration techniques or integrands that may be employed for the high school division are