Evaluate the Iterated Integral $\int _ { 0 } ^ { 2 x } \int _ { 0 } ^ { 1 } \int _ { 1 - y ^ { 2 } } ^ { 4 } r ^ { 2 } d z d r d \theta$

question 47

Multiple Choice

Evaluate the iterated integral $\int _ { 0 } ^ { 2 x } \int _ { 0 } ^ { 1 } \int _ { 1 - y ^ { 2 } } ^ { 4 } r ^ { 2 } d z d r d \theta$ .

• A) \(\frac { \pi } { 5 }\)
• B) \(\frac { 7 \pi } { 5 }\)
• C)4\(\pi\)
• D)12\(\pi\)
• E) \(\frac { \pi } { 16 }\)
• F) \(\frac { \pi } { 2 }\)
• G) \(\frac { 12 \pi } { 3 }\)
• H) \(\frac { 12 \pi } { 5 }\)

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