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Use Polar Coordinates to Evaluate 0101x2e(x2+y2)dydx\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \sqrt { 1 - x ^ { 2 } } } e ^ { - \left( x ^ { 2 } + y ^ { 2 } \right) } d y d x

Question 124

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Use polar coordinates to evaluate 0101x2e(x2+y2)dydx\int _ { 0 } ^ { 1 } \int _ { 0 } ^ { \sqrt { 1 - x ^ { 2 } } } e ^ { - \left( x ^ { 2 } + y ^ { 2 } \right) } d y d x .

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