Calculating the electric field due to a wire of finite length

[aftershock]

Homework Statement

Suppose a uniformly charged wire starts at point 0 and rises vertically along the positive y-axis to a length L. Determine the components of the electric field E_x and E_y at point (x,0). That is, calculate \vec{}E near one end of a long wire, in the plane perpendicular to the wire.

Homework Equations

E= KQ/R^2 with a point charge. So I'll be using integration as well.

The Attempt at a Solution

Ditching the vector for now and focusing on magnitude I have

dE = K (dQ/R^2)

\lambdadL = dQ (where lambda is the linear charge density)

dE = k\lambdadL/(x^2 +y^2)

pretty much can't figure out how to complete the integration...

 

[fizzynoob]

dL should be dy

you need to break the E field into components

the y component of the E field is (k*dq)/(x^2+y^2) * sin(t)
the x component of the E filed is (k*dq)/(x^2+y^2) * cos(t)

once you get there, use a U substitution and the integral should be trivial