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Evaluate the Integral tan53xdx\int \tan ^ { 5 } 3 x d x

Question 118

Multiple Choice

Evaluate the integral.
- tan53xdx\int \tan ^ { 5 } 3 x d x


A) 14tan43x12tan23xlncosx+C\frac { 1 } { 4 } \tan ^ { 4 } 3 x - \frac { 1 } { 2 } \tan ^ { 2 } 3 x - \ln | \cos x | + C
B) 112tan43x16tan23x13lncosx+C\frac { 1 } { 12 } \tan ^ { 4 } 3 x - \frac { 1 } { 6 } \tan ^ { 2 } 3 x - \frac { 1 } { 3 } \ln | \cos x | + C
C) 112tan43x+16tan23x13lncosx+C- \frac { 1 } { 12 } \tan ^ { 4 } 3 x + \frac { 1 } { 6 } \tan ^ { 2 } 3 x - \frac { 1 } { 3 } \ln | \cos x | + C
D) 112tan43x16tan23x+13lncosx+C\frac { 1 } { 12 } \tan ^ { 4 } 3 x - \frac { 1 } { 6 } \tan ^ { 2 } 3 x + \frac { 1 } { 3 } \ln | \cos x | + C

Correct Answer:

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