what is integral calculus ?? for beginners!!

[@rayrayjones3]

your enthusiasm 🥰

[@drwsld]

I was just studying normal distribution and the gaussian integral so this is right on time.

[@JenFoxBot]

@@drwsld wooo!! 🥳

[@williamschacht]

Maybe: f(x) = x^2 is in units of [meters] and dx is in units of [meters] also? Then 0m to 2m might be just 0 to 2? Then the units of f(x)dx, which is [meters^2], can be treated as constant under integration? If not, then you would probably need some type of substitution? In applied mathematics we haven't included the units explicitly under integration (in any of my classes anyway - even the physics classes). You are summing rectangles of [meters^2]. I am curious about this. If you find an answer, let us know. As they say, "Integration is an art." Thanks Jen!

[@JenFoxBot]

@@williamschacht good hypothesis! It has to do with x bring in [m], so f(x) is in [sqrt(m)]. When you plug in f(x) into the eqn, it comes with units of [sqrt(m)] which then cancel one of the m^3 at the end. Units can be tricky! Which is why I often just assume it'll work out if I spend the time lol

[@JenFoxBot]

@@williamschacht oh and units aren't a constant (or a number), they're more a property of a variable or a number. Good question and thought process, makes sense you haven't dealt with em in applied math!

[@Comfincorbiz]

Hello jenny Can you make a complete series which step wise completes whole school level math I think it would really be helpful , I just wish I had a math teacher like you when I was in my school , teachers these days are merely looking for quick remedy to earn money so teaching goes down from window when primary motive is money besides teaching

[@JenFoxBot]

@@Comfincorbiz hi! Please call me 'jen' or 'jenfoxbot'. Thanks for the suggestion! Since I do these for free, I don't have time to do an entire math course but there are lots of courses online!

[@77eyestosee77]

Hi! I’m working on a new set theory that turns Georg Cantors work on its head, and that seriously seems to disprove the “continuum hypothesis” by way of a counter example. Using what I call “proto-finite” numbers. I’m looking for help on this project because I don’t want to hoard my ideas and because it requires a lot of rigor and could use extra eyes. Lmk if you’re interested in hearing about it! *edit the set of all proto-finite numbers seems to be neither countably infinite or uncountably infinite, and I’m calling it a “super-uncountable infinite set”*

[@Dougduh]

I’m the Y and your are my X ahaha Lol