MIT Bee 2025 Semi-Finals Integral | Fast Solution to Integral of ln(x)/sqrt(x − x^2) dx
5:33
YouTubeCalculus Diaries
MIT Bee 2025 Semi-Finals Integral | Fast Solution to Integral of ln(x)/sqrt(x − x^2) dx
In this video, we solve the challenging integral ln(x)/sqrt(x − x^2) dx, a problem featured in the 2025 MIT Integration Bee Semi-Finals. Using clever substitutions of x = sin^2(theta), we break it down step by step into the log sine integral from zero to pi/2. Below is a link to the video evaluating the integral of log(sin(x)) dx from 0 to pi ...
94 views5 months ago
Integration Bee Winners
Congratulations to our 2026 Phoenix #1 District Spelling Bee winners! Cristann Althouse from Garfield took first place and Cora McGrath from Shaw took second place. The winning word was PROTOTYPE. Watch Superintendent Dr. Deborah Gonzalez feature them in her weekly update video. 🔤 🐝🏆 | Whittier Elementary School
1:06
Congratulations to our 2026 Phoenix #1 District Spelling Bee winners! Cristann Althouse from Garfield took first place and Cora McGrath from Shaw took second place. The winning word was PROTOTYPE. Watch Superintendent Dr. Deborah Gonzalez feature them in her weekly update video. 🔤 🐝🏆 | Whittier Elementary School
FacebookWhittier Elementary School
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2.1K views · 35 reactions | Congratulations to our Science Bee Award Winners! 6th grade: Carson Thompson, William Widener, and Claire Horn | Central Middle School, Carrollton, Georgia | Facebook
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2.1K views · 35 reactions | Congratulations to our Science Bee Award Winners! 6th grade: Carson Thompson, William Widener, and Claire Horn | Central Middle School, Carrollton, Georgia | Facebook
FacebookCentral Middle School,
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2.3K views · 122 reactions | 퐇퐞퐚퐝퐬 퐮퐩, 퐅퐫퐚퐧퐜퐢퐬퐜퐚퐧퐬! We warmly congratulate the Winners of Science Quiz Bee for S.Y. 2022-2023. You have truly exemplified the intelligence and wit of a Franciscan. Like Benjamin Franklin said, “An investment in knowledge pays the best interest.” Congratulations, Franciscans for a job well done!!! | Saint Francis of Assisi College - Taguig Campus | Facebook
2.3K views · 122 reactions | 퐇퐞퐚퐝퐬 퐮퐩, 퐅퐫퐚퐧퐜퐢퐬퐜퐚퐧퐬! We warmly congratulate the Winners of Science Quiz Bee for S.Y. 2022-2023. You have truly exemplified the intelligence and wit of a Franciscan. Like Benjamin Franklin said, “An investment in knowledge pays the best interest.” Congratulations, Franciscans for a job well done!!! | Saint Francis of Assisi College - Taguig Campus | Facebook
FacebookSaint Francis of Assisi
2.3K views1 month ago
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