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Evaluate the Integral In Cylindrical Coordinates

Question 58

Essay

Evaluate the integral 461116y216y21x2+y2dxdydz\int _ { 4 } ^ { 6 } \int _ { - 1 } ^ { - 1 } \int _ { - \sqrt { 16 - y ^ { 2 } } } ^ { \sqrt { 16 - y ^ { 2 } } } \frac { 1 } { \sqrt { x ^ { 2 } + y ^ { 2 } } } d x d y d z in cylindrical coordinates.

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