- #1
juan.
- 8
- 0
Hello everyone, I have a question about integrating in Laplace Transform. For example, if I have:
[tex]f(t)=e^{i.t}[/tex]
I have to solve this equation:
[tex]\int_{0}^{\infty}e^{i.t}.e^{-s.t}dt[/tex]
If I do like this, it's very simple:
[tex]\int_{0}^{\infty}e^{i.t}.e^{-s.t}dt=\int_{0}^{\infty}e^{-t.(s-i)}dt=\frac{-1}{s-i}.(0-1)=\frac{1}{s-i}[/tex]
But, if I do like this, I can't solve it:
[tex]\int_{0}^{\infty}e^{i.t}.e^{-s.t}dt=\int_{0}^{\infty}e^{t.(i-s)}dt=\frac{1}{i-s}.(?? - 1)= ?? [/tex]
Where it says '??', I don't know what to write.
Any help? Thanks!
[tex]f(t)=e^{i.t}[/tex]
I have to solve this equation:
[tex]\int_{0}^{\infty}e^{i.t}.e^{-s.t}dt[/tex]
If I do like this, it's very simple:
[tex]\int_{0}^{\infty}e^{i.t}.e^{-s.t}dt=\int_{0}^{\infty}e^{-t.(s-i)}dt=\frac{-1}{s-i}.(0-1)=\frac{1}{s-i}[/tex]
But, if I do like this, I can't solve it:
[tex]\int_{0}^{\infty}e^{i.t}.e^{-s.t}dt=\int_{0}^{\infty}e^{t.(i-s)}dt=\frac{1}{i-s}.(?? - 1)= ?? [/tex]
Where it says '??', I don't know what to write.
Any help? Thanks!