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Evaluate the Integral 343π5π0θrzdrdzdθ\int _ { 3 } ^ { 4 } \int _ { 3 \pi } ^ { 5 \pi } \int _ { 0 } ^ { \theta } \mathrm { rz } \mathrm { dr } \mathrm { dzd } \theta

Question 180

Multiple Choice

Evaluate the integral.
- 343π5π0θrzdrdzdθ\int _ { 3 } ^ { 4 } \int _ { 3 \pi } ^ { 5 \pi } \int _ { 0 } ^ { \theta } \mathrm { rz } \mathrm { dr } \mathrm { dzd } \theta


A) 59215π2\frac { 592 } { 15 } \pi ^ { 2 }
B) 37π237 \pi ^ { 2 }
C) 2969π2\frac { 296 } { 9 } \pi ^ { 2 }
D) 1483π2\frac { 148 } { 3 } \pi ^ { 2 }

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