Evaluate the Iterated Integral $\int _ { 0 } ^ { \sqrt { 2 } / 2 } \int _ { x } ^ { \sqrt { 1 - x ^ { 2 } } } \sin \left( \pi \left( x ^ { 2 } + y ^ { 2 } \right) \right) d y d x$

question 116

Multiple Choice

Evaluate the iterated integral $\int _ { 0 } ^ { \sqrt { 2 } / 2 } \int _ { x } ^ { \sqrt { 1 - x ^ { 2 } } } \sin \left( \pi \left( x ^ { 2 } + y ^ { 2 } \right) \right) d y d x$ by converting to polar coordinates.

• A)2
• B) \(\pi\)
• C)
• \(\frac { 1 } { 4 }\)
• D)1
• E) \(\frac { 1 } { 2 }\)
• F) \(2 \pi\)
• G) \(\frac { \pi } { 2 }\)
• H)0

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