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

question 203

Multiple Choice

Solve the problem.
-Integrate $f ( x , y ) = \sin \left( x ^ { 2 } + y ^ { 2 } \right)$ over the region $0 \leq x ^ { 2 } + y ^ { 2 } \leq 4$ .

• A) \(2 \pi \left( 1 - \cos ^ { 2 } 2 \right)\)
• B) \(\pi \left( 1 - \cos ^ { 2 } 2 \right)\)
• C) \(2 \pi ( 1 - \cos 4 )\)
• D) \(\pi ( 1 - \cos 4 )\)

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