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Evaluate the Integral dx5+13sin2x\int \frac { d x } { 5 + 13 \sin 2 x }

Question 404

Multiple Choice

Evaluate the integral.
- dx5+13sin2x\int \frac { d x } { 5 + 13 \sin 2 x }


A) 112ln5+13sin2x+12cos2x5+13sin2x+C- \frac { 1 } { 12 } \ln \left| \frac { 5 + 13 \sin 2 x + 12 \cos 2 x } { 5 + 13 \sin 2 x } \right| + C
B) 124ln5+13sinx+12cosx5+13sin2x+C\frac { 1 } { 24 } \ln \left| \frac { 5 + 13 \sin x + 12 \cos x } { 5 + 13 \sin 2 x } \right| + C
C) 124ln13+5sin2x+12cos2x5+13sin2x+C- \frac { 1 } { 24 } \ln \left| \frac { 13 + 5 \sin 2 x + 12 \cos 2 x } { 5 + 13 \sin 2 x } \right| + C
D) 124ln13+5cos2x+12sin2x5+13sin2x+C- \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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