A Uniform Linear Charge of 3 $\int _ { - 3 } ^ { 2 } \frac { 27 d y } { ( 4 - y ) ^ { 2 } }$

Multiple Choice

A uniform linear charge of 3.0 nC/m is distributed along the y axis from y = -3 m to y = 2m.Which of the following integrals is correct for the magnitude of the electric field at y = 4 m on the y axis?

A) $\int _ { - 3 } ^ { 2 } \frac { 27 d y } { ( 4 - y ) ^ { 2 } }$
B) $\int _ { - 3 } ^ { 2 } \frac { 27 d y } { 16 + y ^ { 2 } }$
C) $$\int _ { - 3 } ^ { 2 } \frac { 135 d y } { ( 4 - y ) ^ { 2 } }$$
D) $\int _ { - 3 } ^ { 2 } \frac { 135 d y } { 16 + y ^ { 2 } }$
E) none of these