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Evaluate ∫02∫04−x2∫04−x2−y2x2dzdydx\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 - x ^ { 2 } } } \int _ { 0 } ^ { 4 - x ^ { 2 } - y ^ { 2 } } x ^ { 2 } d z d y d x

Question 10

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Evaluate ∫02∫04−x2∫04−x2−y2x2dzdydx\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 - x ^ { 2 } } } \int _ { 0 } ^ { 4 - x ^ { 2 } - y ^ { 2 } } x ^ { 2 } d z d y d x by changing to cylindrical coordinates.

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