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) divergent