From 914c650d9a556afa6be72ee416fb3630a83275a5 Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Mon, 15 Oct 2018 13:59:20 +1100 Subject: [PATCH] antidifferentiation & applications --- methods/antidiff.md | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) diff --git a/methods/antidiff.md b/methods/antidiff.md index e69de29..05db62a 100644 --- a/methods/antidiff.md +++ b/methods/antidiff.md @@ -0,0 +1,16 @@ +# Antidifferentiation + +If $F'(x)=f(x)$, then $\int f(x) \cdot dx = F(x) + c$ + +$$\int x^n \cdot dx = {x^{n+1} \over {n+1}} + c, \quad n \in \mathbb{N} \cup \{0\}$$ + +Rules: + +$\int [f(x) \pm g(x)] \cdot dx = \int f(x) \cdot dx \pm \int g(x) \cdot dx$ +$\int kf(x) \cdot dx = k \int f(x) \cdot dx$, where $k \in \mathbb{R}$ + +## Applications of differentiation to kinematics + +Kinematics - straight line motion of a particle + +Instantaneous velocity - dx/dt \ No newline at end of file -- 2.49.0