From 6921fa15f6359adb26bf4f5c8e84c80269695f82 Mon Sep 17 00:00:00 2001 From: arc <zleyyij@users.noreply.github.com> Date: Thu, 20 Mar 2025 12:12:12 -0600 Subject: [PATCH] vault backup: 2025-03-20 12:12:12 --- education/math/MATH1210 (calc 1)/Integrals.md | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1210 (calc 1)/Integrals.md b/education/math/MATH1210 (calc 1)/Integrals.md index 1fa084d..3098345 100644 --- a/education/math/MATH1210 (calc 1)/Integrals.md +++ b/education/math/MATH1210 (calc 1)/Integrals.md @@ -8,7 +8,11 @@ $$ \int f(x) dx $$ ## Examples > Find the antiderivative of the function $y = x^2$ -1. We know that $f'(x) = 2x^1$ +1. We know that to find the derivative of the above function, you'd multiply by the exponent ($2$), and subtract 1 from the exponent. +2. To perform this operation in reverse: + 1. Add 1 to the exponent + 2. Multiply by $\dfrac{1}{n + 1}$ +3. This gives us an antiderivative of$\dfrac{1}{3}x^3$ ## Formulas