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I have encountered a user on Math Stack Exchange with writing in his bio that Empress Elisabeth of Austria ("Sisi") did some math and she was famous for an unsolvable integral:

$$\int_{0}^{1}\operatorname{si}(x)\operatorname{si}(x)\;\text{d}x$$

I am unsure if this is the precise integral that I saw in his bio. Anyways, I have did google searches and didn't find anything about her as a mathematician. I hope someone can provide any historical context.

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    $\begingroup$ I suggest, you ask that user (math.stackexchange.com/users/698573/erik-satie). This can be done, for instance, by asking the same question at MSE and pinging him (I assume, that's he). My guess is that the claim is just a joke (SiSi). $\endgroup$ – Moishe Kohan Jun 8 at 17:04
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    $\begingroup$ Great, now I need to dig up my copy of Gradshteyn and Ryzhik to see if this is listed there :-) $\endgroup$ – Carl Witthoft Jun 9 at 11:55
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    $\begingroup$ This is the funniest question I ever encountered here. $\endgroup$ – Rodrigo de Azevedo Jun 10 at 13:25
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    $\begingroup$ Empress Elisabeth is called Sisi. The formula we see contains "Si" two times. This smacks of the Italian specialist mathematician: Signor Alessandro Binomi, who is only known for his biggest feat: he invented the Binomial (polynomial)? Of Mr Binomi, we know the following: "One of the first uses in a mathematical textbook is as "Alessandro Binomi" in the mathematical study standard work of Otto Forster, Analysis 1 (Vieweg Verlag, Braunschweig), from the year 1976. [cont.] $\endgroup$ – LаngLаngС Jun 12 at 1:01
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    $\begingroup$ [continuation of LangLangC's comment, originally posted as an answer] There it is entered in the name register. As Binomi's life data the data of Sir Isaac Newton were taken and exchanged (* 1727, † 1643). More than 30 years later, in the Bavarian edition of Lambacher Schweizer 9 (a mathematics book from the Klett publishing house) published in 2007, the figure reappears on page 24 as "Francesco Binomi" together with a picture by Johann Wolfgang von Goethe, with 1472 to 1483, i.e. only eleven years, given as life data. [cont.] $\endgroup$ – Danu Jun 13 at 7:48

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