Evaluate the Definite Integral $\int _ { 1 } ^ { 2 } \frac { 1 - \cos ( 9 \theta ) } { 9 \theta - \sin ( 9 \theta ) } d \theta$

question 122

Multiple Choice

Evaluate the definite integral. $\int _ { 1 } ^ { 2 } \frac { 1 - \cos ( 9 \theta ) } { 9 \theta - \sin ( 9 \theta ) } d \theta$

• A) \(\frac { 1 } { 9 } \ln \left| \frac { 1 - \cos ( 18 ) } { 9 - \sin ( 9 ) } \right|\)
• B) \(\frac { 1 } { 9 } \ln \left| \frac { 1 - \sin ( 18 ) } { 9 - \sin ( 9 ) } \right|\)
• C) \(\frac { 1 } { 18 } \ln \left| \frac { 18 - \sin ( 18 ) } { 9 - \sin ( 9 ) } \right|\)
• D) \(\frac { 1 } { 9 } \ln \left| \frac { 18 - \sin ( 18 ) } { 9 - \sin ( 9 ) } \right|\)
• E) \(\frac { 1 } { 9 } \ln \left| \frac { 2 - \cos ( 18 ) } { 9 - \sin ( 9 ) } \right|\)

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