Ewynn
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Yesterday a friend of mine tried to joke texting me "Internet is challenging you!" with this picture. He knew about my love in mathematics, but I doubt he thought about me actually solving this.
When I've got a little break at work I started thinking about this. Pretty obvious the main difficulty is the integral of sin(x)/x (where x is hotdog!). Beer are getting out of the integral as variables and we have this simple at first sight integral.
But, unfortunatelly it is not representable in simple functions. I've googled this as sine integral (never actually tried to do this before). A few minutes later I represented sinx as Taylor series and integrated the infinite sum to get this result. The only thing I haven't actually got is the sum of the series with x = inf. I've written a script and got first 10 elements with big numbers but approximation is not the best way to do this, so I've got the answer from the wikipedia.
So if you ever wanted to integrate a sin of hotdog, here you are.
Woo boy!
FP Edit, thank you guys, you are awesome.
Send me your integrals/solutions. Hotdog would do it as well!
GnomeAndGarden
Mapleroot1337
Wouldn't it be 5pi/4?
The701
Well...obviously.
lenchik
Russian? Russian!
NachomanDandyCabbage
Let me have a look
Danskuleija
Using definite integrals; dx/x^2 + a^2 = π/a*2 gives us 10*π/2*2 = 5π/2 or 5*∫0->π 1/2 x sin(x) dx = π/2*5
Molder12
Hey I got it right without looking at your solution. And we did it the same way. I just didn't try by parts cause it looked terrible
IfYouChooseNotToDecideYouStillHaveMadeAChoice
Math is a helluva drug.
1metalnation
Straight up, most mathematicians that genuinely create new math are addicted to stimulants. Amphetamines are common
Rekthobo
Math...not even once.
ChickenFreeChicken
Math. Not even once.
ImmaNeedBoutTreeFiddy
Never math and hot dog
GunganExterminator
TheJudgeHasItBackwards
As an engineer who is no longer in school, I consulted my standard bar food table and found that i don't give a fuck. Confirmed via Wolfram.
joe6paques
Bravo, @OP! Greatest moment of my education was when a professor gave me permission to look up an integral instead of doing it from scratch.
Ewynn
But it is the fun part! It still blowing my mind when I think that Euler did this almost 300 years ago.
RickFlist
MAYORofTITTYciti
@OP I just finished my calculus final and this is hilarious.
PianoMan2112
I can't remember calculus anymore :(
MAYORofTITTYciti
That's fine 99% of people don't need to know it
stromania
This is so beautiful. I just finished my calc 2 final yesterday haha
Ewynn
Congratulations! Cheer yourself with beer hotdog and a few integrals, probably :)
ReyChingon
Fuck you, and your math.
rhcross
VoidIncarnate
Legit emojinalysis.
Goochami
Should have just used Wolframalpha
AnAverageJho
integral of Sinc(x) (which is sin(x)/x) from -inf to inf is Pi. Integral from 0 to inf would be half that. Its seen in Fourier transforms.
Ewynn
I know about sin(x)/x function but never tried to integrate it. The problem is to prove that sinc(x) from -inf to inf is Pi.
Ewynn
And, since it is non-integratable function I tried series instead. With knowing sinc(x) we can see the result straight from wiki!
erbiumyttriumytterbium
You've just proven the beer frankfurter pie equation, also known as the Isn't That So Special Theory of Carbohydrate Fields.
erbiumyttriumytterbium
Expect a call from the Nobel committee in the morning. Telling you not to quit your day job...
Foundling108
"Pretty obvious..." no OP. You have a gift, I do not.
spudcosmic
You really don't have to be gifted to understand integration. You might need to be willing to learn it but that's about it.
elveector
MITOLL
прекрасные расчеты, товарищ!
ravi893
Isn't ir just the integration of sin(hotdog)/hotdog then just plug and chug.
TheStonewall
You are correct.
snailphotography
aka plug integrate 5sin(x)/x from 0 to infinity into wolfram|alpha.
Mobileuserwholikestoberandom
imreallyjusthereforthecats
This. This is the one I was looking for
Drakniv
Your handwriting is worse than a doctor's.
stormtrooper412
it's actually a very good handwriting
BriPri
Sooo hotdog is something with pie in it?!
altraman12
Hamburger*pie/beer. Hamburger is 5, beer is 2.
EitherImRightOrYoureWrong
That's the mystery meat
B4k4Black
Hot dog is actually just a variable. No value. I'm drunk so if this is sarcastic I missed it sorry.
dghammer
Just a plug in....could have been dicks and would be the same.
malfunctionm1ke
Creampie
BriPri
Ha!
nimbers
answer is half hotdogpie
Mazena
Two and half a pie to be precise.
IHateBeing
Hot dog is just a variable. In this problem it had every value from 0 to infinity. It's no different from x, y, z, smiley face, or anything.
CardeasII
Nope. Hotdog is 2,5 pies. As seen in picture.
IHateBeing
No it isn't, the integral of the 5 times sine of hotdog divided by hotdog from 0 to ∞ is 5pi/2.
, hotdog = x.
hijakk
Or should it be (hamburger*π)/beer?
IHateBeing
Nice
kwayzar
Didn't follow a thing you said there, but I am proud of you. Looks like a lot of work.
BillNyeYourMomsAGuy
Its not much work. Pretty simple problem once you learn about integration
Flyndaran
In math I had problems either going in circles or reducing too much and ending up with 3=3. No shit, self. I already know that.
TheVerySorryCanadian
2nd year engineering student. I actually understood the majority of that math!
stormtrooper412
majority? Dude this is high school math
GodDamnItICantComeUpWithAGoodUsername
All of that math could be high school math.However most unis will go over it again to make sure their students know it.
TheVerySorryCanadian
Integrals are 1st year calculus for me along with Taylor expansions. Plus I hated that stuff and I finished my multivariable calculus on 1/2
TheVerySorryCanadian
Friday so I didn't want to read through and try to put my knowledge to the rest. I'm here for kittens and puppers, not more calculus :)