- #1

MikeGomez

- 344

- 16

## Homework Statement

## Homework Equations

I need help solving intergral…

[tex]\int \frac{dx}{(a+x)^2}[/tex]

## The Attempt at a Solution

I found the integral for…

[tex] \int \frac{dx}{(a^2+x^2)} [/tex] = 1/a arctan x/a

But I don’t know how to apply that to the original integral which is a little different

[tex]\int \frac{dx}{(a+x)^2} = \int \frac{dx}{(a^2+x^2+2ax)}[/tex]

I also need to solve the following integral

[tex]\int \frac{dx}{(a+b-x)^2}[/tex]

It’s not homework. The reason is that I want to work through the numbers that Rybczyk gives as equation 1 for gravitational potential in his paper “Gravitational Effect on Light Propagation”

http://www.mrelativity.net/Gravitat...ravitational Effects on Light Propagation.htm

I have simplified his equation in my post somewhat, as I already know how to separate the two terms separated by the minus sign, and assuming the gravitational constant G and the mass of the bodies are constant, I know that they can come out in front of the integral sign.

Also, I changed the variable names to more familiar ones. I hope the variable name substitutions helps rather than hinders. If not I'll have to rewrite this whole post using Rybczyk's exact variables..

Thanks.