Evaluate the Cylindrical Coordinate Integral$\int _ { 0 } ^ { \pi / 2 } \int _ { 9 } ^ { 18 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } \cos \theta d z r d r d \theta$

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The Answer of Evaluate the Cylindrical Coordinate Integral$\int _ { 0 } ^ { \pi / 2 } \int _ { 9 } ^ { 18 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } \cos \theta d z r d r d \theta$

Evaluate the Cylindrical Coordinate Integral $\int _ { 0 } ^ { \pi / 2 } \int _ { 9 } ^ { 18 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } \cos \theta d z r d r d \theta$

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Evaluate the Cylindrical Coordinate Integral ∫0π/2∫918∫1/r21/rcos⁡θdzrdrdθ\int _ { 0 } ^ { \pi / 2 } \int _ { 9 } ^ { 18 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } \cos \theta d z r d r d \theta∫0π/2​∫918​∫1/r21/r​cosθdzrdrdθ

Definitions:

Evaluate the Cylindrical Coordinate Integral $\int _ { 0 } ^ { \pi / 2 } \int _ { 9 } ^ { 18 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } \cos \theta d z r d r d \theta$