For this problem,
However, I am trying to solve this problem using an alternative method compared with the solutions. My method is:
##\vec E = k_e \int \frac {dq} {r^2} \, dx ## ##\hat r##
##\vec E = k_e \int \frac {\lambda} {x^2 + d^2} \, dx## ## \hat r##
If I let ## \hat r = \frac {-x\hat i...