Evaluate the Cylindrical Coordinate Integral$\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \cos ^ { 2 } \theta } \int _ { 3 r ^ { 4 } } ^ { 9 r ^ { 4 } } z \sin \theta d z r d r d \theta$

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The Answer of Evaluate the Cylindrical Coordinate Integral$\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \cos ^ { 2 } \theta } \int _ { 3 r ^ { 4 } } ^ { 9 r ^ { 4 } } z \sin \theta d z r d r d \theta$

Evaluate the Cylindrical Coordinate Integral $\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \cos ^ { 2 } \theta } \int _ { 3 r ^ { 4 } } ^ { 9 r ^ { 4 } } z \sin \theta d z r d r d \theta$

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Evaluate the Cylindrical Coordinate Integral ∫0π/2∫0cos⁡2θ∫3r49r4zsin⁡θdzrdrdθ\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \cos ^ { 2 } \theta } \int _ { 3 r ^ { 4 } } ^ { 9 r ^ { 4 } } z \sin \theta d z r d r d \theta∫0π/2​∫0cos2θ​∫3r49r4​zsinθdzrdrdθ

Definitions:

Evaluate the Cylindrical Coordinate Integral $\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \cos ^ { 2 } \theta } \int _ { 3 r ^ { 4 } } ^ { 9 r ^ { 4 } } z \sin \theta d z r d r d \theta$