A 12-NC Charge Is Distributed Uniformly Along the Y Axis $\int _ { 0 } ^ { 4 } \frac { 216 d y } { \left( 4 + y ^ { 2 } \right) ^ { 3 / 2 } }$

Multiple Choice

A 12-nC charge is distributed uniformly along the y axis from y = 0 to y = 4 m.Which of the following integrals is correct for the x component of the electric field at x = 2 m on the x axis?

A) $\int _ { 0 } ^ { 4 } \frac { 216 d y } { \left( 4 + y ^ { 2 } \right) ^ { 3 / 2 } }$
B) $\int _ { 0 } ^ { 4 } \frac { 54 d y } { \left( 4 + y ^ { 2 } \right) ^ { 3 / 2 } }$
C) $\int _ { 0 } ^ { 4 } \frac { 108 d y } { 4 + y ^ { 2 } }$
D) $\int _ { 0 } ^ { 4 } \frac { 27 d y } { 4 + y ^ { 2 } }$
E) none of these