Скачать или смотреть Calculus Basics: 7 Key Integration Rules You Need to Know! ➕

Struggling with integrals? This Manim short breaks down the *7 fundamental rules* of integration that form the foundation of calculus. Mastering these rules allows you to find the antiderivative of most basic functions!

We cover:
1. *Power Rule* ⚡: How to integrate terms like $x^n$ (and why $n=-1$ is special!).
2. *Constant Rule* 🔢: Integrating a constant $k$.
3. *Linearity Rules* (Sum/Difference & Constant Multiple): How to handle multiple terms and coefficients.
4. *Exponential Rules* $e^x, a^x$: The simple integration of $e^x$ and the $\ln a$ caveat for $a^x$.
5. *Logarithmic Rule* $\frac{1}{x}$: The integral of $x^{-1}$ is $\ln|x|$.
6. *Trigonometric Rules* 📐: The antiderivatives of $\sin x$, $\cos x$, $\sec^2 x$, and more!

These rules are your starting point before moving on to advanced methods like u-Substitution and Integration by Parts. Hit the pause button to memorize these formulas!

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