Evaluate the Integral in Terms of Natural Logarithms $$\int _ { 0 } ^ { \sqrt { 2 } / 2 } \frac { 32 \mathrm { dx } } { \sqrt { 1 + 16 \mathrm { x } ^ { 2 } } }$$

Multiple Choice

Evaluate the integral in terms of natural logarithms.
- $$\int _ { 0 } ^ { \sqrt { 2 } / 2 } \frac { 32 \mathrm { dx } } { \sqrt { 1 + 16 \mathrm { x } ^ { 2 } } }$$

A) $\ln 11$
B) $8 \ln ( 2 \sqrt { 2 } + 3 )$
C) $32 \ln ( 2 \sqrt { 2 } + 3 )$
D) $8 \ln ( 2 \sqrt { 2 } + \sqrt { 7 } )$