MIT Integration Bee 2025 Qualifiers Q15: Three Ways to Integrate a Radical
Автор: Robols Math
Загружено: 2025-07-21
Просмотров: 202
Описание:
This is the 15th (out of 20) question in the Qualifiers for the 2025 edition of the MIT Integration Bee. For reference, 20 minutes is given to the participants to answer the 20 questions in the qualifiers. For experienced solvers, 20 minutes is ample time to answer majority of the integrals.
In 2025, Karthik Vedula was declared as the Grand Integrator of the MIT Integration Bee. I bet he answered this qualifier question in a blink of an eye!
The following integration techniques are presented in this video:
trigonometric substitution
geometric interpretation of an integral
beta and gamma functions
0:00 Question
0:12 Rookie Solution
1:52 Semi-Pro Solution
2:40 Pro Solution
#math #calculus #integral #integralcalculus #integration #IntegrationBee #mitintegrationbee
#mathwizard #mathtrick
#trigonometry #trigonometricsubstitution
#betafunction #gammafunction #areaunderthecurve
#manim #python #lofimusic
Background Music:
campfire-lofi [183495] by Amir Firouzfard (Pixabay)
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