From 55e086586254700ba6fcf459f5bab3704a40d625 Mon Sep 17 00:00:00 2001 From: eggy Date: Fri, 5 Feb 2021 20:36:40 -0500 Subject: [PATCH] math: clarify substitute rule and provide general form --- docs/mcv4u7.md | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/docs/mcv4u7.md b/docs/mcv4u7.md index 98d4a39..7c49327 100644 --- a/docs/mcv4u7.md +++ b/docs/mcv4u7.md @@ -56,7 +56,11 @@ $$\int f(x)dx=F(x)+C$$ ### Substitution rule -Similar to limit evaluation, the substitution of complex expressions involving $x$ and $dx$ with $u$ and $du$ can be done. +Similar to limit evaluation, the substitution of complex expressions involving $x$ and $dx$ with $u$ and $du$ is generally used to work with the chain rule. +$$ +u=g(x) \\ +\int f(g(s))\cdot g´(x)\cdot dx = \int f(u)\cdot du +$$ ??? example To solve $\int (x\sqrt{x-1})dx$: