Evaluate the cylindrical coordinate integral.
-$\int _ { 0 } ^ { \pi / 2 } \int _ { 4 } ^ { 8 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } z \cos \theta d z r d r d \theta$
A) $\frac { 64 \ln 2 - 3 } { 256 }$
B) $\frac { 64 \ln 2 - 6 } { 256 }$
C) $\frac { 128 \ln 2 - 6 } { 256 }$
D) $\frac { 128 \ln 2 - 3 } { 256 }$

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The Answer of Evaluate the cylindrical coordinate integral.
-$\int _ { 0 } ^ { \pi / 2 } \int _ { 4 } ^ { 8 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } z \cos \theta d z r d r d \theta$
A) $\frac { 64 \ln 2 - 3 } { 256 }$
B) $\frac { 64 \ln 2 - 6 } { 256 }$
C) $\frac { 128 \ln 2 - 6 } { 256 }$
D) $\frac { 128 \ln 2 - 3 } { 256 }$

Evaluate the Cylindrical Coordinate Integral ∫0π/2∫48∫1/r21/rzcos⁡θdzrdrdθ\int _ { 0 } ^ { \pi / 2 } \int _ { 4 } ^ { 8 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } z \cos \theta d z r d r d \theta∫0π/2​∫48​∫1/r21/r​zcosθdzrdrdθ

Evaluate the Cylindrical Coordinate Integral $\int _ { 0 } ^ { \pi / 2 } \int _ { 4 } ^ { 8 } \int _ { 1 / r ^ { 2 } } ^ { 1 / r } z \cos \theta d z r d r d \theta$