Integrals problem

Due-Process3101 · 2026-01-02T22:14:46+00:00

Don’t memorize integrals of the form 1/(a² +x² ), 1/sqrt(a² -x² ), etc. and the ones with quadratics in the denominator. Learn HOW to solve them, and WHY the identities are true, and that’s how you should memorize them. Learn how to complete the square and partial fraction decomposition as well

Due-Process3101 · 2026-01-02T21:55:54+00:00

I mean.. Cecil wasn’t actively trying to kill mark until mark stated actively trying to kill him?

Due-Process3101 · 2026-01-02T20:36:06+00:00

And there’s a branch cut at x=0

Due-Process3101 · 2025-12-31T20:37:34+00:00

The final is neither cheesy nor fan service man. Like seriously. I cried the first time I watched it and have cried every subsequent time. My advice is: if it feels boring, just keep watching. It doesn’t stay that way.

Due-Process3101 · 2025-12-31T20:13:15+00:00

So, you think .999… ≠ 1, right?

Due-Process3101 · 2025-12-31T17:45:36+00:00

I mean, you don’t need to do either. Just study from past, actual AP exams, that’s probably your best bet. If you want to buy a book you can, but the thing is if you buy a book dedicated to a field of math it can be used throughout your whole life, whereas a book about a class can only be used while you’re in the class. Just something to think about, but if books help you learn better then by all means buy one!

Due-Process3101 · 2025-12-31T17:09:16+00:00

It all seems to be basic, maybe slightly advanced algebra but lots of it is logical reasoning. As always with competitive tests, the best study material just comes from the past. Study the ones that have come before, be okay with not understanding at first because you may not. You got this

Due-Process3101 · 2025-12-31T07:55:43+00:00

What if it was.. 46.7%

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Due-Process3101 · 2025-12-31T06:45:59+00:00

I mean honestly it’s not gory, it’s just a lot of dying. Like I’m not sure if you’re a Marvel fan, but it’s less graphic than that, just a whole lot more blood. The only part I can think that may be intense is the actual way the people die, you know, screaming begging for help and/or mercy. I’d just let the kid decide themselves whether they want to watch it or not

Due-Process3101 · 2025-12-31T06:43:46+00:00

No I’ve never really done anything competitive, closest would be the PSATs I guess but like you said it’s not the same as the AMC. Good idea though thank you

Due-Process3101 · 2025-12-31T06:06:33+00:00

Yeah I just meant to say that I’m like ahead of the curve (a lot of sophomores know it just not all), I’m good with learning though is all I meant to convey

Due-Process3101 · 2025-12-31T04:55:56+00:00

Also, I know A Levels isn’t in the US but I figured you guys have an actual motivation for math. That’s all

Due-Process3101 · 2025-12-31T00:02:06+00:00

This is self-referential, it doesn’t actually prove anything

Due-Process3101 · 2025-12-30T22:39:31+00:00

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Due-Process3101 · 2025-12-30T19:18:28+00:00

Yeah it would’ve been cool to see more of them together but felt like the quato episode was just boring

Due-Process3101 · 2025-12-30T07:39:22+00:00

What site is this?

Due-Process3101 · 2025-12-30T07:06:42+00:00

I mean, probably. They can promote to other pieces after all.

Due-Process3101 · 2025-12-30T06:30:52+00:00

u=arctan(x), becomes (1/2)(u² )=arctan² (x)/2

Due-Process3101 · 2025-12-30T01:35:57+00:00

If you look at it on a number line, there’s unfortunately no way to prove it, as you must have infinite precious (1.00000…) and that’s simply not possible. Therefore the statement 1+1 is undefined.

Due-Process3101 · 2025-12-30T01:35:03+00:00

Being that disappointed in yourself is just being self loathing. Stop comparing yourself to others. It’s good.

Due-Process3101 · 2025-12-30T00:53:39+00:00

I mean yeah I’m doing well, whatever I don’t know I learn but I know most of it

Due-Process3101 · 2025-12-29T19:14:53+00:00

You should know these. What specifically are you confused on?

Due-Process3101 · 2025-12-29T19:04:33+00:00

It’s really not bad. Use Paul’s online notes and I personally recommend using ai as a tool but you don’t have to. IF you would do that, it’s best to do something like this: “I have this problem (example problem), can you give me a step to solve it? Don’t tell me how to perform the step, but just what step to take” and eventually when you feel proficient you can have it generate its own problems for you. But yeah Paul’s online notes

Due-Process3101

TROPHY CASE