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

Question 163

Multiple Choice

Evaluate the spherical coordinate integral.
- 0π/20π/34secφ8secφϱ3sinφcosφddφdθ\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) 1200π1200 \pi
B) 2400π2400 \pi
C) 720π720 \pi
D) 1440π1440 \pi

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