Charge of Uniform Linear Density 6 $\int _ { 0 } ^ { 3 } \frac { 54 d x } { \left( x ^ { 2 } + 16 \right) ^ { 1 / 2 } }$

Multiple Choice

Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point y = +4 m on the y axis?

A) $\int _ { 0 } ^ { 3 } \frac { 54 d x } { \left( x ^ { 2 } + 16 \right) ^ { 1 / 2 } }$
B) $\int _ { 0 } ^ { 3 } \frac { 18 d x } { \left( x ^ { 2 } + 16 \right) ^ { 1 / 2 } }$
C) $\int _ { 0 } ^ { 3 } \frac { 54 d x } { x ^ { 2 } + 16 }$
D) $\int _ { 0 } ^ { 3 } \frac { 18 d x } { x ^ { 2 } + 16 }$
E) $\int _ { 0 } ^ { 3 } \frac { 108 d x } { \left( x ^ { 2 } + 16 \right) ^ { 1 / 2 } }$