Thread: a contour integral device View Single Post
2022-07-12, 18:37   #2
paulunderwood

Sep 2002
Database er0rr

2·7·313 Posts

Quote:
 Originally Posted by wildrabbitt Hi, I'm reading a book and I need to know how to evaluate this integral : $\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}\frac{y^s}{s}ds$ / \frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}\frac{y^s}{s}ds forgotten how to get latex in a post again I know it equals 0 on (0,1), 1/2 for y = 1 and 1 for y > 1 but I can't find a proof anywhere. Perhaps someone recognises it and knows a page online or a book where I could find it?
Encapsulate the $$\LaTeX$$ in backslash left braket and backslash right bracket. For inline use parentheses.

$\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}\frac{y^s}{s}ds$

Last fiddled with by paulunderwood on 2022-07-12 at 18:43