From b1e0cc41d91d85f9e0a69f6f4231f8e83c2104ec Mon Sep 17 00:00:00 2001
From: KevinatorTrainer5 <44285042+KevinatorTrainer5@users.noreply.github.com>
Date: Wed, 21 Nov 2018 00:45:34 +1100
Subject: [PATCH] Added some physical calculus rules (#22317)

-Just added a few extra integration rules of velocity, displacement and acceleration for applications of calculus in the physical world
---
 guide/english/mathematics/integration-rules/index.md | 12 ++++++++++++
 1 file changed, 12 insertions(+)

diff --git a/guide/english/mathematics/integration-rules/index.md b/guide/english/mathematics/integration-rules/index.md
index 08ea8facc6..b2b4ad8cf3 100644
--- a/guide/english/mathematics/integration-rules/index.md
+++ b/guide/english/mathematics/integration-rules/index.md
@@ -25,6 +25,18 @@ As with differentiation, we use a variety of rules when integrating functions. B
 
 &int;[f(x) - g(x)]dx = &int;f(x)dx - &int;g(x)dx
 
+**Physical Calculus Rules:**
+
+&int; v dt = x + C, where x is the displacement and v is the velocity
+
+&int; a dt = v + C, where v is the velocity and a is the acceleration
+
+a = <sup>d</sup>&frasl;<sub>dx</sub>(0.5v<sup>2</sup>) where a is the acceleration, and v is the velocity
+
+&int; a dx = 0.5v<sup>2</sup>
+
+a + C = 0.5v<sup>2</sup>
+
 #### More Information:
 [Basic Rules with Examples](http://archive.learnhigher.ac.uk/resources/files/Numeracy/Integration_webversion.pdf)