- #1
Charles49
- 87
- 0
We can show that
[tex]
\int_{0}^\infty e^{-kx}dx=\frac{1}{k}
[/tex]
for real $$k>0.$$
Does this result hold for $$\Re k>0$$ belonging to complex numbers? The reason I have this question is because $$i\times\infty$$ is not $$\infty$$ and so u substitution would not work.
[tex]
\int_{0}^\infty e^{-kx}dx=\frac{1}{k}
[/tex]
for real $$k>0.$$
Does this result hold for $$\Re k>0$$ belonging to complex numbers? The reason I have this question is because $$i\times\infty$$ is not $$\infty$$ and so u substitution would not work.