Bernoulli's integral has a few tricky things going on
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I have to admit, the sum is a good form as it converges very quickly.
Riemann agrees... 😂
Such a beautiful result. 😊 The same calculation for x^(-x) gives a very nice symmetric result of Sum[1/n^n] (n=1, 2... )
Yes this one is nice! :)
This one is called Sophomore's dream. Dr. PK evaluated this a few months ago
Oh nice. I didn’t know that name for it
@@owl3math You and Dr PK should collab on an integral. You two are two math youtubers posting challenging integrals I know
@@iqtrainer I like Dr PK!
Pi/4 moment
Very nice; problem+ solution.
Hi Panya. And thanks! 🙏😀
by reiiterate integration by parts
I got a notification for this video while writing the name "Bernoulli".
oooooh weird
SIMPLE ANSWER: X^X-1/X-1
is that supposed to be x+1? Power rule :)
u can shift to -\sum_{n=1}^\infty\frac{(-1)^n}{n^n} to make it nicer
I thought that you would use Laplace transform again hahaha
ha! I do like to use that quite a bit :)