Today I learned what double integrals are and even though in class we only saw really trivial examples (planes) and basically just covered the limit definition, when I got home I got myself some practice problems and learned all the little tricks like changing the order of variable and subdividing the region being integrated over.
And I have to say, doing double integrals makes me feel really good about myself. It makes me feel really smart. I am not sure why it is, but if it is anything then it probably is drawing the double integral symbol, writing dA, and specifying the region of integration under the integral as a set, rather than as an interval. Also when I say the word compact I feel like a big man.
Compact. Compact. Consider this compact set. Consider this family of compact subsets. Consider consider consider. Let A be a partition. I want to fuck a double integral.
And just now I was doing retarded shit as always like jerking off and watching dumb Veeky Forums simulator videos on youtube when suddenly I remembered how good it felt to do double integrals, so I looked for more problems and just did them. It legitimately felt good to do those integrals and now the feeling has stuck in me. I may just see myself in the couple of weeks doing double integrals at the park, at the bus, in my room, in the bathroom while taking a shit. Who knows. Double integrals may be the best concept in mathematics that has ever been invented and no one can deny this to me. And I have felt so good that I have come here to you to preach about the one true god of mathematics: double integrals. Have you done a double integral today? Have you thanked the gentle authors who created double integral problems for us to solve? Thank them or you will go to integral hell, where there are only single integral problems and where compact sets do not exist.
Do you know that there are TRIPLE integrals out there?
Dylan Baker
I have heard of the false prophets and indeed they will come to me later this semester, but I will not praise them. For I have done plane geometry and space geometry, and plane geometry is much comfier than space geometry.
And what will triple integrals be anyway? 4 dimensional volume? HAH. Nonsense. Burn the believers of the false prophets.
Daniel Diaz
This is honestly one of the things that makes me feel so cool and smart.
I would always look ahead in math. I would look to the end of the book, at whatever crazy looking symbols and language they were using. It seemed so advanced. And then once I finally learned it, I felt so smart. Finally being able to use those symbols, to write them in my own handwriting, and not just to write it but to know what it means and to be actually proving something about it. Like a real math guy.
Cooper Ross
>plane geometry is much comfier >does projective geometry once >kills hisself
Sebastian Stewart
>I want to fuck a double integral. lost
Justin Wright
There is nothing wrong with fucking who you love
Easton Taylor
Report back when you learn the joy of grad, divergence and curl.
Brody Morris
Meaningless concepts. I shall get a PhD in Double Integrals
Carter Davis
>not getting two PhDs in single integrals brainlets when will they learn
Matthew Ramirez
Couple weeks into calculus 3 now, doing well, already past partial derivatives and beyond. Chain rule was a joke. Double integrals remain my specialty.
Daniel Torres
This is one of the best post I've ever read on this sub.
Liam Reed
Then one day you realize that the Rienmann integral is a baby toy for brainlet engineers.
You will realize the rules to switch integrals were all a LIE.
You will have to work for several years until you can grasp the intent of the all mighty Lebesgue integral.
You will probably fail, fail many times, but one day if you preservere you will be able to prove the Beppo-Levi theorem for infinity sums of measurable functions, and then maybe one day you will be able to prove the ALL MIGHTY FUBINI THEOREM.
After you grasp the power Fubini's Theorem, after you finally understand why you can switch the order of the integrals you will see back to your former brainlet self, fapping to double integrals and you will see it with pitty.
Lucas Foster
cap me my main brother -cwru
Jacob Turner
oh boy i hate math fags going to kill myself i'm sure of it
Jonathan Cook
inb4 you become one of those "integrals for fun" autists
