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15:14
YouTube
Calculus Diaries
The Most Stunning Solution to an Elegant MIT Integration Bee Problem
In this video, we solve the following MIT Integration Bee 2022 Semi-Final problem: The integral from zero to infinity of x(e^(-x)+1)/(e^x-1) dx. After multiplying the top and bottom by e^(-x), the denominator can be expressed as an infinite sum of n from 0 to infinity of e^(-nx) relying on a geometric series. The solution to this integral is ...
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