Evaluate the Integral $$\int \frac { d x } { 5 + 13 \sin 2 x }$$

question 404

Multiple Choice

Evaluate the integral.
- $$\int \frac { d x } { 5 + 13 \sin 2 x }$$

• A) \(- \frac { 1 } { 12 } \ln \left| \frac { 5 + 13 \sin 2 x + 12 \cos 2 x } { 5 + 13 \sin 2 x } \right| + C\)
• B) \(\frac { 1 } { 24 } \ln \left| \frac { 5 + 13 \sin x + 12 \cos x } { 5 + 13 \sin 2 x } \right| + C\)
• C) \(- \frac { 1 } { 24 } \ln \left| \frac { 13 + 5 \sin 2 x + 12 \cos 2 x } { 5 + 13 \sin 2 x } \right| + C\)
• D) \(- \frac { 1 } { 24 } \ln \left| \frac { 13 + 5 \cos 2 x + 12 \sin 2 x } { 5 + 13 \sin 2 x } \right| + C\)

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