From: Andrew Lorimer <andrew@lorimer.id.au>
Date: Mon, 15 Oct 2018 02:59:20 +0000 (+1100)
Subject: antidifferentiation & applications
X-Git-Tag: yr11~25
X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/914c650d9a556afa6be72ee416fb3630a83275a5

antidifferentiation & applications
---

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