Thursday, August 16, 2018

complex analysis - Help with improper integral

I need help solving this integral:



$$\int_0 ^\infty \frac{\sin(x)}{x} dx$$



I have a help that says that try to calculate the integral of $$\frac{e^{iz}}{z}$$ for a "proper path"... but I don't know how to use that, help.

No comments:

Post a Comment

analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...