# Homework Help: Integration of line of charge

1. Feb 9, 2010

### sonutulsiani

1. The problem statement, all variables and given/known data

Alright I am not sure how to integrate this:

Integrate

1/ { [ x (^2) + a (^2) ] [^(3/2)] }

For a more clear expression click here: http://hyperphysics.phy-astr.gsu.edu/hba… [Broken] And see the expression after the line that says : The integral required to obtain the field expression is.

And I want the answer as the same in that site. How do we do it?

2. Relevant equations

3. The attempt at a solution

What do we substitute? How do we proceed?

Last edited by a moderator: May 4, 2017
2. Feb 9, 2010

### dacruick

substitute x= a * tan(u)

then find dx/du. and then simplify that badboy

3. Feb 9, 2010

### dacruick

i did it very quickly and got arctan(x/a)/a²

4. Feb 9, 2010

### dacruick

i can also guess your bounds, and say that the answer could be pi/2a²

5. Feb 9, 2010

6. Feb 9, 2010

### sonutulsiani

Were you able to find it?
Please let me know.. It' s important.

7. Feb 10, 2010