[Not-so-daily puzzle] Simplify the expression \ stacker news ~science

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Simplify this expression:

(there are 26 factors in this product)

Previous iteration: #792583 (nearly unsolvable, by design)

The square roots are all zero because

So are the integrals, because

is an odd function and the intervals are symmetric around 0.

The logs simplify to

etc.

Hence, we get

Since

, the end result must be

Looks more complicated than it is (or I'm wrong) :-)

That's correct.

The problem I had stumbled on was actually

but I thought that one would have been too obvious, so I decided to rewrite it in the way I did.

I don't want to spoil it, but I'm pretty sure I have it figured out.

Sorry but an unrelated question I'm asking here.

Why can't I copy the equation?

20 sats \ 4 replies \ @south_korea_ln OP 5 Dec

Two options:

Click the dots and then click on quote reply. This should give you the mathjax syntax. You can use that in any program that recognizes tex syntex.
Take a screenshot and ask ChatGPT to give you the mathjax. It's pretty good at doing this, with occasional errors though.

Got it. Thank you so much. The second option would be better for me I guess. I'm technically so advanced, haha!

Don't ask ChatGPT to solve the problem for you though~~

Haha! I won't. I asked it just to gain knowledge how to use this type of formatting. I hardly understand Maths.

I actually tested just now if ChatGPT would find the final solution. It didn't. I had to push it in the right direction for it to find the trick.