$$ \lim_{x\to\infty} f(x) $$
$$ \int_{a}^{b} x^n dx $$
$$ \frac{d}{dx}x^n $$
In this introduction, I will teach limits, differential calculus, and integral calculus, and some extra calculus cool things.
Before we start, here's a cool little cheat sheet you can use throughout this course. Be sure to memorize everything though since you won't be able to use it during the competition or during an exam.
Epic AP Calculus Formula Sheet AB Derivatives Limits Integrals.pdf
Let's start. The pages are sorted in the tables below.
If a page is marked Advanced, then it is advanced. It is not recommended to do this unless you understand all the previous lessons. If a page is marked Prerequisite, then it is highly recommended to view the page before moving on to the next lesson. If a page is marked Optional then you can go by not reading it. If a page is marked Strategy then obviously it will help you going through problems. If the page is marked Problems, then there are workbook problems on the page. Also, this book has a dark mode. Turn it on in your Notion.so settings.
This can be used as a textbook for Calc AB and BC. All BC topics are marked with the BC tag.