American brainlet here.
Can anyone see how to compute this integral (standard for high-school students in Magyarország)?
The primitive (in-definite integral) has no closed form, and I do not even see how to show that the integral converges.
American brainlet here
Benjamin Jones
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Isaac Brown
Did this one in primary school actually
Nathan Foster
as did i
>americans
Samuel Lee
0 :^)
Nolan Reed
standard in French High-Schools too. Just do a contour integration of the function exp(z^2) around a well-chosen triangle. You should then be able to find your integral and the other one with a cosine.
Those are called Fresnel's integrals
Andrew Carter
sqrt(pi/2)/2
Andrew Adams
You do complex integratipn in french hs? I mean, the process isn't hard in itself, but you need to understand calculus and some analisis for it to make sense.
Jason Price
0
Michael Campbell
american,
I may have learned them too
we were taught a lot of calculus that I didn't really understand
Henry Butler
No we don't. Real integration is mentionned in high school but we only do basic stuff like integrating polynomials on segments. integration by parts and by substitution aren't taught until we start university / classes préparatoires.
I don't think complex integration is taught in prépa, but i know it is taught on the third year of university.
Ethan Harris
>third year of university
More like third year of elementary school.
Chase Cox
Sometimed hs teach kids how to use calculus even if it makes no sense. This seems shit, but if you are already proficient at solving your typical calc problems, uni can consentrate with rigor, proofs and generalizations, something physicists and engineers strugle a lot after in their life.b
Hudson Cooper
It doesn't converge, obviously.
Colton Peterson
Canadian brainlet here, how important is calculus irl tho?
Nathan Roberts
[math]\sqrt{\frac{\pi}{8}}[/math]
en.wikipedia.org
>I ain't gonna type the solution in [math]\LaTeX[/math]
Juan Reed
It's pretty much the backbone of modern physics and engineering, so kinda important I guess.
Aiden Garcia
can you do this with cauchy residue theorem ?
im too lazy to try that and substitution doesnt work for me
Gavin Fisher
Aka literally irrelevant to everything unless you work in math/science/engineering in which case you already understand basic calculus pretty well
Sebastian Sullivan
why are you posting about this on a science board? obviously maths is irrelevant to 95% of shitty normie jobs/careers, because they do not require any skills anyway
Eli Sullivan
it's a limit. you know sin(0)=0, so the limit is the face value of the integral. u=x^x, dv=sinu. the original integral = uv - integral of vdu.
William Wood
Fresnel integrals are the Jeopardy trivia questions of calculus
You'll never, ever need to know how to do one by hand unless you're a math major.
Isaac Gutierrez
>you don't use math skills when you're doing things completely unrelated to math
I don't use grammar when I'm jerking off, why do schools even bother teaching it?
Andrew Myers
...
Jayden Price
important but definitely overrated imho.