The Internet’s Hardest Integral (But Harder)

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seeing this answer, there's gotta be an easier way.

wargreymon
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Did not expect complex residues to show up

yashpermalla
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A lot of people in the comments probably watched the video without listening or something? Why is everybody asking about the simplicity of the final answer?

eggcorpprod
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Now try this insanely hard integral :
Integral between 0 and pi/2 of tan(x)^(x/(e^x)).

TerenceTao-wi
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As an AP calculus AB student, this is fucking terrifying

patricksarama
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Now just raise the whole question to the power cosx ..this would make it more harder.

pranjalverma
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Cool, sadly, I could not keep up. Guess I gotta do some more studying

joaxen
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Once again, you have bested me ! Math carnivore

NicolasCloutier-ux
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But the antiderivative of tanx is ln|secx| + c, how is that of nth root of tanx the same?

vikramadityakodavalla
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This is just an example of the incomplete beta function.

joshuaiosevich
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Please anyone derive it for n=2 please please i am getting wrong answer please please request

Naman_shukla