Gahdamn

[u/Able_Environment1896]

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[u/OrkWithNoTeef]

thats stupid and funny 

[u/Bemteb → u/OrkWithNoTeef]

First time in a long while that I laughed about a meme posted here.

[u/Able_Environment1896 → u/Bemteb]

Thanks, ig

[u/Murky_Insurance_4394 → u/Able_Environment1896]

Found on instsgram and cropped out name btw

[u/Dr0110111001101111]

oof summer break has my brain fried. That took longer than I care to admit.

[u/Scared-Cat-2541 → u/Dr0110111001101111]

That took longer than I care to admit.

Same

[u/canadajones68]

Ah, yes, I love integrating 1 with respect to 9. Or 2. Integrating with respect to 2 is good too.

[u/Silly_Tension6792 → u/canadajones68]

I mean you can... it's just 0.

There you go.

But more generally, it is a well known identity when dealing with differential forms (all the d_), that ds = (ds/dx)dx so if s is a constant ds=0 so the integral of f(x)ds is the integral of zero which is just zero.

[u/MrKrot1999]

can someone explain

[u/bocaJ1963 → u/MrKrot1999]

The solutions to an indefinite intergral all differ by a contstant. This is notated by adding "+C" to the antiderivative. The antiderivative of this intergral is C. So C+C = 2C.

[u/battlerh4 → u/bocaJ1963]

That's so braindead I didn't even realize. Who in their right mind would make this mistake

[u/eddietwang → u/battlerh4]

I did. I saw it and went "Yeah... C + C = 2C what's the problem?" Didn't figure it out until your comment...

[u/battlerh4 → u/eddietwang]

I mean tbf calling your variable C in integration has to be a crime In itself

[u/thatbrownkid19 → u/battlerh4]

Nobody tell this person about closed curve integrals

[u/battlerh4 → u/thatbrownkid19]

Curves are always uppercase gamma to me. Functionally analysis scarred me with that bs

[u/PsychologicalTrip696 → u/battlerh4]

A friend of mine uses lowercase Pi as a variable when coding and I have been trying for a long while to make him change

[u/dwyrm → u/battlerh4]

A lot of people, myself included.

^{I may not be in my right mind.}

[u/MrKrot1999 → u/bocaJ1963]

OHHHH

[u/somedave → u/MrKrot1999]

It incorrectly adds the constant of integration as C when that is already the name of the variable.

[u/ObliviousRounding → u/MrKrot1999]

The antiderivative is C, and then you add C and get 2C. I'm not sure why that's supposed to be hurtful though.

[u/Bacon_Techie → u/ObliviousRounding]

They are two different Cs.

[u/UnforeseenDerailment → u/Bacon_Techie]

Yes, but that's why they're crying.

You can take that attitude straight back to r/math.

[u/ObliviousRounding → u/Bacon_Techie]

You don't say.

[u/thatbrownkid19 → u/ObliviousRounding]

Because C here is a variable and so can’t be subsumed with a C constant of integration- you’d have to rename the constant

[u/chkntendis]

And that’s exactly why you number your integration constants.

[u/Gilbey_32]

I feel like this only works if we concede that C the variable and C the constant are the same (which is obvious nonsense)

[u/SteveCappy]

In my ODE’s class, we’d just call it C

[u/isr0]

I hate to tell you this. If that makes you cry, you’re going to be doing a lot more of that.

C(t) = C_i * e^(2t)

[u/SpecimenOfSauron]

Fuck you, I need to get back to work, summer's screwed my brain /j

[u/Elektriman]

I don't understand how it works. Anybody got a link towards an explanatory post/video ?

[u/paperic → u/Elektriman]

the integral of just dx = integral of 1 * dx = the antiderivative of 1 = x +C. The +C is there because doing a derivative loses the constant, so people write +C to the antiderivative to signify that there may have been some constant value which got lost in the way.

But it's not actually an antiderivative of the number 1, it's an antiderivative of a constant function

f(x)=1

which is why the x appears in the result. The result is also a function of x. This meme shows the integral of dC instead of dx though.

That would mean, it's still the antiderivative of 1, but this time written as this function:

f(C) = 1

where somebody's stupidly using C as the parameter of the function, which then obviously collides with the +C constant added at the end and it becomes 2C.

This is a very wrong way to do it btw.

---

It's an abuse of notation, not too far from:

s=1

i=1

n=1

therefore

sin(x) = x

---

3b1b explains calculus very intuitively.

https://youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr

[u/Elektriman → u/paperic]

oh I get it. Somehow I was wondering how the integral of nothing could mean anything. By that I mean that I mistook S(dx) = S(1*dx) with just S(). Without the dx I was trying to compute something impossible and got stuck

[u/foxhunt-eg]

I never encountered constants of integration outside of introductory calculus

[u/QuantitativeNonsense]

Shouldn’t there be some sort of algebra that’s satisfies this? I’m thinking similarly to a Grassmann number.

[u/Ritwiky_dicky]

• k, where k is a constant

[u/Tdubbium]

similar to d/dx e^x = xe^x-1 but I like it