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经典问题 我们从一个经典问题开始。 求解狄利克雷积分 ∫0+∞sin⁡xxdx\int^{+\infin}_{0}\frac{\sin x}{x}dx ∫0+∞​xsinx​dx 该问题一般通过留数定理或者傅里叶变换求解，但是这里我们使用“对积分符号内的参数求微分”的方法来解决。 定义 I(t)=∫0+∞sin⁡xx⋅e−txdxI(t)=\int^{+\infin}_{0}\frac{\sin x}{x}\cdot e^{-tx}dx I(t)=∫0+∞​xsinx​⋅e−txdx 那么原积分等于I(0)I(0)I(0)

Welcome to Hexo! This is your very first post. Check documentation for more info. If you get any problems when using Hexo, you can find the answer in troubleshooting or you can ask me on GitHub. Quick StartCreate a new post1$ hexo new "My New Post" More info: Writing Run server1$ hexo server More info: Server Generate static files1$ hexo generate More info: Generating Deploy to remote sites1$ hexo deploy More info: Deployment