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vault backup: 2025-03-20 11:17:46

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arc 2025-03-20 11:17:46 -06:00
parent 6fb86a79b2
commit f764ece987
2 changed files with 40 additions and 7 deletions
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27
.obsidian/plugins/obsidian-git/data.json vendored
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20
education/math/MATH1210 (calc 1)/Integrals.md
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@ -11,10 +11,16 @@ An antiderivative is useful when you know the rate of change, and you want to fi
## Formulas ## Formulas
| Differentiation Formula | Integration Formula | | Differentiation Formula | Integration Formula |
| ---------------------------------------- | ------------------------------------------------------- | | --------------------------------------------------- | ------------------------------------------------------- |
| $\dfrac{d}{dx} x^n = nx^{x-1}$ | $\int x^n dx = \dfrac{1}{n+1}x^{n+1}+ C$ for $n \ne -1$ | | $\dfrac{d}{dx} x^n = nx^{x-1}$ | $\int x^n dx = \dfrac{1}{n+1}x^{n+1}+ C$ for $n \ne -1$ |
| $\dfrac{d}{dx} kx = k$ | $\int k \space dx = kx + C$ | | $\dfrac{d}{dx} kx = k$ | $\int k \space dx = kx + C$ |
| $\dfrac{d}{dx} \ln \|x\| = \dfrac{1}{x}$ | | | $\dfrac{d}{dx} \ln \|x\| = \dfrac{1}{x}$ | |
| $\dfrac{d}{dx} e^x = e^x$ | | | $\dfrac{d}{dx} e^x = e^x$ | |
| $\dfrac{d]{dx} a^x = \ln$ | | | $\dfrac{d}{dx} a^x = (\ln{a}) a^x$ | |
| $\dfrac{d}{dx} \sin x = \cos x$ | |
| $\dfrac{d}{dx} \cos x = -\sin x$ | |
| $\dfrac{d}{dx} \tan{x} = \sec^2 x$ | |
| $\dfrac{d}{dx} \sec x = \sec x \tan x$ | |
| $\dfrac{d}{dx} \sin^-1 x = \dfrac{1}{\sqrt{1-x^2}}$ | |
| $\dfrac{d}{dx} \tan^-1 x = \dfrac{} | |