$6\backslash \%)$ Problem $14$: A thin plastic rod of lengthd$=1\mathrm{.}5$mlies along thex$-$ixis with its midpoint at the origin. The rod carries a uniform charge density of$8,5$nC$/$m$.$ The pointPis located along they$-$axis at$(0,$y$5$cm$).$ G$$33\%$Part $($a$)$ Enter an expression for the electric potential at pointPdue to a small segment of the rod, of thickness dx$,$ located at $($x$,0).$ Give a symbolic an in terms of$,$x$,$dx$,$y$,$ and the Coulomb constantke$\backslash [$ d V$=\backslash$left$($k$\_\{$e$\}\backslash$lambda d x$\backslash$right$)$ v$\backslash$left$(\backslash$left$($d$^\{2\}/4\backslash$right$)+$y$^\{2\}\backslash$right$)\backslash$quad X $\backslash$text $\{$ Atremptr Remsin $\}\backslash ]$ E$233\%$Part $($b$)$ Using the expression you enterest in part $($a$),$ choose the correct limits for the integral that will give the electric pote