https://hfwang132.github.io/tags/%E6%95%B0%E5%AD%A6%E5%85%AC%E5%BC%8F/Recent content in 数学公式 on Haifei's HomeHugozh-CNhfwang132@gmail.com (hfwang132)hfwang132@gmail.com (hfwang132)This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.Sat, 01 Jan 2022 19:21:09 +0800https://hfwang132.github.io/post_20220101_%E6%80%A7%E4%BB%B7%E6%AF%94%E6%9E%81%E9%AB%98%E7%9A%84%E5%85%AC%E5%BC%8F/Sat, 01 Jan 2022 19:21:09 +0800hfwang132@gmail.com (hfwang132)https://hfwang132.github.io/post_20220101_%E6%80%A7%E4%BB%B7%E6%AF%94%E6%9E%81%E9%AB%98%E7%9A%84%E5%85%AC%E5%BC%8F/<p>以下的公式能给解题带来极大的方便</p> <h3 id="一高斯积分">一、高斯积分</h3> \[I_n = \int_{0}^{\infty}x^n e^{-b x^2}\mathrm{d}x %= %\left\{\begin{aligned} %\end{aligned}\right. \]<p>如下是一个方便的记忆方法：</p> <p>首先记住</p> \[I_0 = \frac{1}{2}\sqrt{\frac{\pi}{b}},\quad I_1 = \frac{1}{2}\frac{1}{b}\]<p>其次有</p>