A 24-NC Charge Is Distributed Uniformly Along the X Axis $$\int _ { 2 } ^ { 6 } \frac { 54 d x } { ( 8 - x ) ^ { 2 } }$$

Multiple Choice

A 24-nC charge is distributed uniformly along the x axis from x = 2 m to x = 6 m.Which of the following integrals is correct for the magnitude (in N/C) of the electric field at x = +8 m on the x axis?

A) $$\int _ { 2 } ^ { 6 } \frac { 54 d x } { ( 8 - x ) ^ { 2 } }$$
B) $\int _ { 2 } ^ { 6 } \frac { 216 d x } { ( 8 - x ) ^ { 2 } }$
C) $\int _ { 2 } ^ { 6 } \frac { 54 d x } { x ^ { 2 } }$
D) $$\int _ { 2 } ^ { 6 } \frac { 216 d x } { x ^ { 2 } }$$
E) none of these