Sophomore's Dream as a Surprisingly Interesting Integral from Putnam Math Exam

In this video, I am evaluating an interesting but tough integral from Putnam Math Exam using the form of series. This challenging integral is called Sophomore's dream that is evaluated to be a non-elementary form.

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[MrGLA-zsxt]

The best math youtuber and the most handsome one

[domedebali]

This is by far the best integral video I've watched in Youtube

[cparks]

Not sure if the end form is really better than the first.