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Fun with Integrals: Exploring Cool Calculus Problems

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This series was cancelled by the tutor on July 15, 2025. We're very sorry–you can explore more Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.

About

In this session, we’ll tackle integrals involving clever substitutions, symmetry, and surprising cancellations, covering trigonometric, rational, and improper integrals with elegant solutions. We’ll solve problems step-by-step, discuss alternative methods, and explore the intuition behind each technique. If time permits, we’ll also try some challenging problems from the MIT Integration Bee for extra fun and practice.

Tutored by

Anna P 🇬🇧

Certified in 15 topics

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I'm an Anglo-Saxon. I'm British and American. I'm a high-functioning autistic. I love trains. I love Our Lord Jesus Christ and Our Lady, the Blessed Virgin Mary. I love mathematics and physics. I provide tutoring in Algebra II, Calculus, and Physics. I was a winner in the acsimc math competition and earned distinction in the most prestigious humanities research competition, the International John Locke Competition, which is jointly hosted by Oxford and Princeton. At the moment, I’m doing a stem research internship. I’m working on a research project in analytic number theory, alongside a historical research project on the English Civil War and the French Revolution. I know multiple programming languages. I’ve also completed a selective summer stem program at UC Berkeley. I have successfully taken a university chemistry course. I’ve earned 5’s on my AP exams and received multiple academic awards at school in a range of subjects. I served as vice president of my school’s engineering club, contributing to projects in electrical and mechanical engineering. I’m also developing a blog and an annotated bibliography. In addition, I earned distinction in a science fair competition a few years ago, and I look forward to continuing to build on these experiences. I moderate a forum dedicated to Catholic and medieval history, as well as European royalist and reactionary movements such as Jacobitism, Anglo-American loyalism, and French legitimism. I'm fluent in French. I founded and currently serve as president of my school’s French club. (Keep in mind that I’m trying to be as specific as possible without doxxing myself) Please feel free to reach out to me via Slack or the Schoolhouse chat. I would be delighted to see you in my classes : )

Sessions

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Attendance is optional for this series. Learners are encouraged to join sessions that fit their schedule and participate as much as they like. Each session will be valuable on its own, so feel free to drop in whenever you can!

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