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The Iterated Integral 0π0cosθ01r2rdzdrdθ\int _ { 0 } ^ { \pi } \int _ { 0 } ^ {\cos \theta } \int _ { 0 } ^{\sqrt { 1 - r ^ { 2 }} } r d z d r d \theta

Question 89

Multiple Choice

The iterated integral 0π0cosθ01r2rdzdrdθ\int _ { 0 } ^ { \pi } \int _ { 0 } ^ {\cos \theta } \int _ { 0 } ^{\sqrt { 1 - r ^ { 2 }} } r d z d r d \theta is


A) 3π49\frac { 3 \pi - 4 } { 9 }
B) 3π+49\frac { 3 \pi + 4 } { 9 }
C) 3π47\frac { 3 \pi - 4 } { 7 }
D) 3π+47\frac { 3 \pi + 4 } { 7 }
E) 3π45\frac { 3 \pi - 4 } { 5 }

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