A Charge of 20 NC Is Distributed Uniformly Along the Y

Multiple Choice

A charge of 20 nC is distributed uniformly along the y axis from y = 0 to y = 4 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point x = +3 m on the x axis?

A) $\int _ { 0 } ^ { 4 } \frac { 45 d y } { \left( y ^ { 2 } + 9 \right) ^ { 1 / 2 } }$
B) $\int _ { 0 } ^ { 4 } \frac { 180 d y } { \left( y ^ { 2 } + 9 \right) ^ { 1 / 2 } }$
C) $\int _ { 0 } ^ { 4 } \frac { 45 d y } { y ^ { 2 } + 9 }$
D) $\int _ { 0 } ^ { 4 } \frac { 180 d y } { y ^ { 2 } + 9 }$
E) $\int _ { 0 } ^ { 4 } \frac { 45 d y } { \left( y ^ { 2 } + 9 \right) ^ { 3 / 2 } }$