saucylittle-minx

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saucylittle-minx

Galois did more before he was 17 than most great mathematicians did in their careers. His genius is seriously under appreciated. But good lord Galois Theory blows my mind.

themathkid

2

**Deriving the (open-form) integral of e^(x^2)**

WARNING: Math content ahead!

Although e^(x^2) does not have an antiderivative that can be written finitely as a bunch of elementary functions smooshed together (aka a closed-form antiderivative), it DOES have an open-form antiderivative. This derivation starts with the power series for e^x, and substitutes in x^2 for x, yielding the power series for e^(x^2). This can be integrated term by term, yielding the power series form of the most general antiderivative of e^(x^2).

cyclopentadiene

look at all this quailty

- lonelydays17
- knightofsnark
- sassygaychuggaa
- letsplayhomestuck
- antiderivatively
- sassygaypcull
- pyrates
- thelasttearbender
- pinkanberry

aiicheerio

antiderivatively said: Nastasia is such a babe~

ikr!! they’re all babes!!! I have a lot of nastasia feelings UnU

wendy-pleakley

antiderivatively hat auf deinen Eintrag geantwortet: *i feel like i have nothing left in me anymore*

Stay strong! Things will be better and soon you will be filled with awesome things like bliss and success and cheesecake.

cheesecake sounds nice….

t-thank you!!!

vineapple

fuck i got tagged

god damn it scar

aiicheerio

Doing Calc homework. Yay antiderivatives! #DePaul #calculus #college #math #nerd #mathnerd (at Home)

jkindahl42

yeah so about how i have no fucking algebraic idea at how to take the antiderivative of something thats inside a radical.

one number, i can deal with. but a whole little equation

no

fuck

what? how?

intothesleep

I DO NOT UNDERSTAND DIFFERENTIAL EQUATIONS.

ok so the lecturer was using y’ = y^4 - y^2 as an example. he did a slope field and all that stuff. but like. can’t you just take the antiderivative of that function? i don’t understand where the slope field and all the solutions derived from the slope field come from. shouldn’t the solutions just be 1/3y^3 - y + C? but with the slope field he’s getting all sorts of different solutions that aren’t accounted for by adding C.

i guess it doesn’t really matter right now since i’m not actually taking differential equations yet, but lol. it’d be nice to be able to watch this lecture series. altho perhaps i should finish the one on infinite series first since i’m actually taking that class in a couple weeks…

etsydrugs