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Use Reduction Formulas to Evaluate the Integral tan52xdx\int \tan ^ { 5 } 2 x d x

Question 405

Multiple Choice

Use reduction formulas to evaluate the integral.
- tan52xdx\int \tan ^ { 5 } 2 x d x


A) 18tan42x+14tan22x12lncos2x+C- \frac { 1 } { 8 } \tan ^ { 4 } 2 x + \frac { 1 } { 4 } \tan ^ { 2 } 2 x - \frac { 1 } { 2 } \ln | \cos 2 x | + C
B) 18tan42x14tan22x12lncos2x+C\frac { 1 } { 8 } \tan ^ { 4 } 2 x - \frac { 1 } { 4 } \tan ^ { 2 } 2 x - \frac { 1 } { 2 } \ln | \cos 2 x | + C
C) 14tan42x12tan22xlncos2x+C\frac { 1 } { 4 } \tan ^ { 4 } 2 x - \frac { 1 } { 2 } \tan ^ { 2 } 2 x - \ln | \cos 2 x | + C
D) 18tan42x14tan22x+12lncos2x+C\frac { 1 } { 8 } \tan ^ { 4 } 2 x - \frac { 1 } { 4 } \tan ^ { 2 } 2 x + \frac { 1 } { 2 } \ln | \cos 2 x | + C

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