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Rewrite the Integral In Spherical Coordinates

Question 46

Essay

Rewrite the integral 0204y2x2+y28x2y2(x2+y2)dzdxdy\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 - y ^ { 2 } } } \int _ { \sqrt { x ^ { 2 } + y ^ { 2 } } } ^ { \sqrt { 8 - x ^ { 2 } - y ^ { 2 } } } \left( x ^ { 2 } + y ^ { 2 } \right) d z d x d y in spherical coordinates.You do not have to evaluate the integral.

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