A student working on a physics problem determines that the x$-$ and y$-$components of the electric field at a point P near a charged insulating rod can be calculated from the following integrals:

Ex$=$k$0$L$($dyx$2+$y$2)($xx$2+$y$2)$

Ey$=$k$0$L$($dyx$2+$y$2)($yx$2+$y$2)$

How far, measured perpendicularly, is point P from the rod?

Group of answer choices

x$2+$y$2$