Change the Cartesian Integral to an Equivalent Polar Integral, and Then

Multiple Choice

Change the Cartesian integral to an equivalent polar integral, and then evaluate.
- $\int _ { - 4 } ^ { 4 } \int _ { - \sqrt { 16 - y ^ { 2 } } } ^ { \sqrt { 16 - y ^ { 2 } } } \ln \left( x ^ { 2 } + y ^ { 2 } + 1 \right) d x d y$

A) $\pi ( 16 \ln 17 + 16 )$
B) $\pi ( 17 \ln 17$ - 16)
C) $\pi ( 16 \ln 17 - 16 )$
D) $\pi ( 17 \ln 17 + 16 )$