From ba93140ab12a37a99292a32fa41930f9159e2371 Mon Sep 17 00:00:00 2001 From: myyura Date: Wed, 25 Dec 2024 19:19:17 +0800 Subject: [PATCH] fix --- .../ISEE/kyotsu_2018_complex_function_theory.md | 9 ++++----- 1 file changed, 4 insertions(+), 5 deletions(-) diff --git a/docs/kakomonn/kyushu_university/ISEE/kyotsu_2018_complex_function_theory.md b/docs/kakomonn/kyushu_university/ISEE/kyotsu_2018_complex_function_theory.md index 52179d437..0fc39ff58 100644 --- a/docs/kakomonn/kyushu_university/ISEE/kyotsu_2018_complex_function_theory.md +++ b/docs/kakomonn/kyushu_university/ISEE/kyotsu_2018_complex_function_theory.md @@ -82,9 +82,7 @@ $$ \end{align} $$ -② について、$\int_0^{\infty}\frac{\ln x}{x^2 + 1}dx$ を求める。 - -$q(z) = \frac{\ln z}{z^2 + 1}$ とおくと。 +② について、$\int_0^{\infty}\frac{\ln x}{x^2 + 1}dx$ を求める。$q(z) = \frac{\ln z}{z^2 + 1}$ とおくと。 $$ \begin{aligned} @@ -114,13 +112,14 @@ $$ \begin{aligned} \lim_{R \rightarrow \infty,\varepsilon \rightarrow 0}\int_{C_1}q(z)dz &= \int_0^{\infty}\frac{ln x}{x^2 + 1}dx \end{aligned} -$$ -より、 +$$ +より、 $$ \frac{\pi^2}{2}i = 2\int_0^{\infty}\frac{ln x}{x^2 + 1}dx $$ + より、 $$