From a187b1974a0eeb792cec47309dd588d310f522b1 Mon Sep 17 00:00:00 2001 From: arc Date: Thu, 20 Mar 2025 11:07:47 -0600 Subject: [PATCH] vault backup: 2025-03-20 11:07:47 --- education/math/MATH1210 (calc 1)/Integrals.md | 10 +++++++++- 1 file changed, 9 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1210 (calc 1)/Integrals.md b/education/math/MATH1210 (calc 1)/Integrals.md index b891bf5..13a4354 100644 --- a/education/math/MATH1210 (calc 1)/Integrals.md +++ b/education/math/MATH1210 (calc 1)/Integrals.md @@ -6,4 +6,12 @@ An antiderivative is useful when you know the rate of change, and you want to fi ## Examples > Find the antiderivative of the function $y = x^2$ -1. We know that $f'(x) = 2x$ \ No newline at end of file +1. We know that $f'(x) = 2x$ + + +## Formulas + +| 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 $n \ne -1$ | +| $\dfrac{d}{dx} kx = k$ | $\int k \space dx = kx + C$ |