From 95530d00c1ff9a482994c2c98332fb5ed19868cd Mon Sep 17 00:00:00 2001 From: arc Date: Wed, 3 Sep 2025 11:32:07 -0600 Subject: [PATCH] vault backup: 2025-09-03 11:32:07 --- education/math/MATH1220 (calc II)/Integration by Parts.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1220 (calc II)/Integration by Parts.md b/education/math/MATH1220 (calc II)/Integration by Parts.md index bf68eea..10112ea 100644 --- a/education/math/MATH1220 (calc II)/Integration by Parts.md +++ b/education/math/MATH1220 (calc II)/Integration by Parts.md @@ -14,4 +14,7 @@ $$ \int f(x)g'(x)dx = f(x)g(x) - \int f'(x)g(x)dx$$ Now, let $u = f(x)$ and $v = g(x)$, then $dv = g'(x)dx$ and $du = f'(x)dx$. -# Examples \ No newline at end of file +# Examples +> Evaluate the below antiderivative using integration by parts. +$$\int xe^{2x}dx$$ +1. Define $u$ to be a value you can take the derivative of easily, in this case $u = x$, \ No newline at end of file