From 4ce7f0f075bf228ce1d447f989f17d2ca1c35eb5 Mon Sep 17 00:00:00 2001 From: arc Date: Wed, 3 Sep 2025 12:25:04 -0600 Subject: [PATCH] vault backup: 2025-09-03 12:25:04 --- education/math/MATH1220 (calc II)/Integration by Parts.md | 4 +++- 1 file changed, 3 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 0f706f2..9bcfe2b 100644 --- a/education/math/MATH1220 (calc II)/Integration by Parts.md +++ b/education/math/MATH1220 (calc II)/Integration by Parts.md @@ -21,4 +21,6 @@ $$\int xe^{2x}dx$$ - $u = x$ - $du = \frac{d}{dx}(x)= 1dx$ - $dv = e^{2x}dx$ - - $v = \frac{1}{2}e^{2x}$ - The antiderivative of $dv$. \ No newline at end of file + - $v = \frac{1}{2}e^{2x}$ - The antiderivative of $dv$. +2. Looking back at the integration by parts formula, we know that: + $$ \int udv = uv - \int v du $$ \ No newline at end of file