Evaluate the spherical coordinate integral.
-$\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \pi / 3 } \int _ { 4 \sec \varphi } ^ { 8 \sec \varphi } \varrho ^ { 3 } \sin \varphi \cos \varphi \mathrm { d } \operatorname { d } \varphi \mathrm { d } \theta$
A) $1200 \pi$
B) $2400 \pi$
C) $720 \pi$
D) $1440 \pi$

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The Answer of Evaluate the spherical coordinate integral.
-$\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { \pi / 3 } \int _ { 4 \sec \varphi } ^ { 8 \sec \varphi } \varrho ^ { 3 } \sin \varphi \cos \varphi \mathrm { d } \operatorname { d } \varphi \mathrm { d } \theta$
A) $1200 \pi$
B) $2400 \pi$
C) $720 \pi$
D) $1440 \pi$

Evaluate the Spherical Coordinate Integral A) 1200π1200 \pi1200π B) 2400π2400 \pi2400π C) 720π720 \pi720π

Evaluate the Spherical Coordinate Integral A) $1200 \pi$ B) $2400 \pi$ C) $720 \pi$