Evaluate the following integral. ${\displaystyle \underset{-\frac{1}{2}}{\overset{\frac{1}{2}}{}}}\frac{1}{4x^2+4x+5}dx$

$($a$)\frac{}{16}$

$($b$)\frac{}{8}$

$($c$)\frac{}{4}$

$($d$)8$

$($e$)4$