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

question 173

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) \(\pi ( 17 \ln 17 + 16 )\)

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