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Evaluate the Integral by Changing the Order of Integration in an Appropriate

Question 238

Multiple Choice

Evaluate the integral by changing the order of integration in an appropriate way.
- 120108y/36sinx2xzdxdydz\int _ { 1 } ^ { 2 } \int _ { 0 } ^ { 108 } \int _ { \sqrt { y / 3 } } ^ { 6 } \frac { \sin x ^ { 2 } } { x z } d x d y d z


A) 34ln2(1sin36) \frac { 3 } { 4 } \ln 2 ( 1 - \sin 36 )
B) 32ln2(1sin36) \frac { 3 } { 2 } \ln 2 ( 1 - \sin 36 )
C) 34ln2(1cos36) \frac { 3 } { 4 } \ln 2 ( 1 - \cos 36 )
D) 32ln2(1cos36) \frac { 3 } { 2 } \ln 2 ( 1 - \cos 36 )

Correct Answer:

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