Find the Value of the Integral $\int _ { 4 - \sqrt { 3 } } ^ { 4 + \sqrt { 3 } } \frac { 1 } { x ^ { 2 } - 8 x + 17 } d x$

Find the value of the integral $\int _ { 4 - \sqrt { 3 } } ^ { 4 + \sqrt { 3 } } \frac { 1 } { x ^ { 2 } - 8 x + 17 } d x$

A) $\frac { \pi } { 4 }$

B) $\frac { 4 \pi } { 3 }$
C) $\frac { \pi } { 10 }$
D) $\frac { 2 } { 3 }$
E) $\frac { \pi } { 3 }$
F) $\frac { 2 \pi } { 3 }$

G) $\frac { \pi } { 2 }$

H) $\frac { 1 } { 2 }$

Correct Answer:

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