A Charge of 18 NC Is Uniformly Distributed Along the Y

Multiple Choice

A charge of 18 nC is uniformly distributed along the y axis from y = 3 m to y = 5 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point x = +2 m on the x axis?

A) $\int _ { 3 } ^ { 5 } \frac { 81 d y } { \left( y ^ { 2 } + 4 \right) ^ { 1 / 2 } }$
B) $\int _ { 3 } ^ { 5 } \frac { 162 d y } { \left( y ^ { 2 } + 4 \right) ^ { 1 / 2 } }$
C) $\int _ { 3 } ^ { 5 } \frac { 81 d y } { y ^ { 2 } + 4 }$
D) $\int _ { 3 } ^ { 5 } \frac { 162 d y } { y ^ { 2 } + 4 }$
E) $\int _ { 3 } ^ { 5 } \frac { 81 d y } { y }$