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Evaluate the Integral In Cylindrical Coordinates

Question 21

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Evaluate the integral 20204x24x2(x2+z2)7/2dzdxdy\int _ { - 2 } ^ { 0 } \int _ { - 2 } ^ { 0 } \int _ { - \sqrt { 4 - x ^ { 2 } } } ^ { \sqrt { 4 - x ^ { 2 } } } \left( x ^ { 2 } + z ^ { 2 } \right) ^ { 7 / 2 } d z d x d y in cylindrical coordinates.

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