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

question 129

Multiple Choice

Evaluate the cylindrical coordinate integral.
- $\int _ { 0 } ^ { \pi / 2 } \int _ { 9 } ^ { 18 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } \cos \theta d z r d r d \theta$

• A) \(18 \pi + \ln 2\)
• B) \(9 - \ln 2\)
• C) \(9 \pi + \ln 2\)
• D) \(18 - \ln 2\)

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