Asap help please~electric fields from continuous charge distribution?

[Major Mei]

Hello guys,

I tried to figure this out and I got my answer. I just want to check it. So would you guys please help me with it? Thank you!
Here is the question:
A nonconducting rod of length 2a has a charge Q uniformly distributed along it. Find the expression for x-component of the electric field at point P(a distance above one of the ends of the rod)

my answer:

Ex = Integral from x = -2a to 0 of [(k*Q/2a)*xdx/ (x^2+a^2)^(3/s2)]
set x^2+a^2 = y
x*dx = dy/2 also x = -2a y = 5a^2
x = 0 y =a^2

Ex = -2*(k*Q/4a)[1/sq rt(y)] within limits of y = 5a^2 to y = a^2]
= - (kQ/2a)*[1/sq rt(5a^2) – 1/sq rt(a^2)] = -(kQ/2a^2)[1/sq rt(5) -1]
= [kQ/(2a^2*sq rt(5))]*{sq rt(5) -1]

is that correct?
Thank you and I am willing to learn from you ;)

 

[Physics Enemy]

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elelin.html

Hope that helps!

 

[Major Mei]

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elelin.html

Hope that helps!

It certainly did. Cool page and I learned that basically I got the idea.
Trying to do this part again and see if I can find sth new.
thx!