Evaluate the Cylindrical Coordinate Integral$$\int _ { 5 } ^ { 7 } \int _ { \theta } ^ { 2 \theta } \int _ { 0 } ^ { r } \frac { 2 } { r ^ { 2 } } d z r d r d \theta$$

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The Answer of Evaluate the Cylindrical Coordinate Integral$$\int _ { 5 } ^ { 7 } \int _ { \theta } ^ { 2 \theta } \int _ { 0 } ^ { r } \frac { 2 } { r ^ { 2 } } d z r d r d \theta$$

Evaluate the Cylindrical Coordinate Integral $\int _ { 5 } ^ { 7 } \int _ { \theta } ^ { 2 \theta } \int _ { 0 } ^ { r } \frac { 2 } { r ^ { 2 } } d z r d r d \theta$

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Evaluate the Cylindrical Coordinate Integral ∫57∫θ2θ∫0r2r2dzrdrdθ\int _ { 5 } ^ { 7 } \int _ { \theta } ^ { 2 \theta } \int _ { 0 } ^ { r } \frac { 2 } { r ^ { 2 } } d z r d r d \theta∫57​∫θ2θ​∫0r​r22​dzrdrdθ

Definitions:

Evaluate the Cylindrical Coordinate Integral $\int _ { 5 } ^ { 7 } \int _ { \theta } ^ { 2 \theta } \int _ { 0 } ^ { r } \frac { 2 } { r ^ { 2 } } d z r d r d \theta$