MIT Integration Bee 2025 Regular Season Q07: Integral of Fractional Part Function
Автор: Robols Math
Загружено: 2025-08-09
Просмотров: 186
Описание:
This is the 7th question in the Regular Season Round of 2025 edition of the MIT Integration Bee. All the questions in the Regular Season Round have a time limit of 2 minutes. During the contest, four participants answer the integral on the board at a time, and basically, more points are awarded to participants who answered correctly if other participants were not able to get it.
The following topics are covered in this video:
fractional part function
floor function, aka greatest integer function
splitwise/piecewise function
evaluating summations
#math #calculus #integral #integralcalculus #integration #IntegrationBee #mitintegrationbee
#mathwizard #mathtrick
#fractionalpart #greatestintegerfunction
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00:00 Introduction
00:33 Fractional Part and Greatest Integer Function
04:00 Solution 1: Integrating wrt x
11:42 Solution 2: Integrating wrt frac(x)
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