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

Question 248

Multiple Choice

Change the Cartesian integral to an equivalent polar integral, and then evaluate.
- 339x29x21(1+x2+y2) 2dydx\int _ { - 3 } ^ { 3 } \int _ { - \sqrt { 9 - x ^ { 2 } } } ^ { \sqrt { 9 - x ^ { 2 } } } \frac { 1 } { \left( 1 + x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } } d y d x


A) 185π\frac { 18 } { 5 } \pi
B) 95π\frac { 9 } { 5 } \pi
C) 919π\frac { 9 } { 19 } \pi
D) 910π\frac { 9 } { 10 } \pi

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