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

question 99

Multiple Choice

Change the Cartesian integral to an equivalent polar integral, and then evaluate.
- $\int _ { - 3 } ^ { 3 } \int _ { - \sqrt { 9 - y ^ { 2 } } } ^ { \sqrt { 9 - y ^ { 2 } } } \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 5 / 2 } d x d y$

• A) \(\frac { 2187 } { 7 } \pi\)
• B) \(\frac { 1458 } { 7 } \pi\)
• C) \(\frac { 729 } { 7 } \pi\)
• D) \(\frac { 4374 } { 7 } \pi\)

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