Evaluate the Integral or Show That It Is Divergent $\int_{-\infty}^{\infty} \frac{5 d x}{4 x^{2}+4 x+5}$

Multiple Choice

Evaluate the integral or show that it is divergent. $\int_{-\infty}^{\infty} \frac{5 d x}{4 x^{2}+4 x+5}$

A) $-\frac{\pi}{10}$
B) $\frac{\pi}{5}$
C) $\frac{\pi}{8}$
D) $\frac{5}{4}$ $\pi$
E) $\text { divergent }$