Solve the Problem $f ( x , y ) = \frac { \ln \left( x ^ { 2 } + y ^ { 2 } \right) } { x ^ { 2 } + y ^ { 2 } }$

question 311

Multiple Choice

Solve the problem.
-Integrate $f ( x , y ) = \frac { \ln \left( x ^ { 2 } + y ^ { 2 } \right) } { x ^ { 2 } + y ^ { 2 } }$ over the region $1 \leq x ^ { 2 } + y ^ { 2 } \leq 4$ .

• A) \(\pi ( \ln 2 ) ^ { 2 }\)
• B) \(2 \pi ( \ln 2 ) ^ { 2 }\)
• C) \(2 \pi \ln 2\)
• D) \(\pi \ln 2\)

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