Please help with this integral.

  • #1

Main Question or Discussion Point

Can someone help me evaluate this integral?

[tex]
\int\limits_{-\infty}^{\infty} dz' \frac{1}{\sqrt{(x-x')^2 + (y-y')^2 + (z-z')^2}}
[/tex]

Mathematica is telling me that this guy diverges. But it CAN'T! This is supposed to give me the reduced Green's function for two semi-infinite plates that meet at a right angle on the z-axis.
 

Answers and Replies

  • #2
mathman
Science Advisor
7,754
413
For large z' the integrand behaves like 1/|z'|, leading to divergence.
 
  • #3
1,015
1
It does indeed diverge.

To solve you could use
[tex]z-z'=\sqrt{(x-x')^2+(y-y')^2}\sinh t[/tex]
 

Related Threads for: Please help with this integral.

  • Last Post
Replies
7
Views
2K
Replies
1
Views
1K
Replies
8
Views
4K
Replies
3
Views
3K
Top