Evaluate the Iterated Integral $\int _ { 0 } ^ { x / 2 } \int _ { 0 } ^ { x / 2 } \int _ { 0 } ^ { 1 } \rho ^ { 3 } \sin \phi \cos \phi d \rho d \phi d \theta$

question 206

Multiple Choice

Evaluate the iterated integral $\int _ { 0 } ^ { x / 2 } \int _ { 0 } ^ { x / 2 } \int _ { 0 } ^ { 1 } \rho ^ { 3 } \sin \phi \cos \phi d \rho d \phi d \theta$ .

• A) \(\frac { \pi } { 8 }\)
• B) \(\frac { \pi } { 4 }\)
• C)\(\pi\)
• D)2\(\pi\)
• E) \(\frac { \pi } { 16 }\)
• F) \(\frac { \pi } { 2 }\)
• G) \(\frac { \pi } { 3 }\)
• H) \(\frac { \pi } { 6 }\)

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