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Evaluate the Integral tan54xdx\int \tan ^ { 5 } 4 x d x

Question 24

Multiple Choice

Evaluate the integral.
- tan54xdx\int \tan ^ { 5 } 4 x d x


A) 116tan44x+18tan24x14lncosx+C- \frac { 1 } { 16 } \tan ^ { 4 } 4 x + \frac { 1 } { 8 } \tan ^ { 2 } 4 x - \frac { 1 } { 4 } \ln | \cos x | + C
B) 14tan44x12tan24xlncosx+C\frac { 1 } { 4 } \tan ^ { 4 } 4 x - \frac { 1 } { 2 } \tan ^ { 2 } 4 x - \ln | \cos x | + C
C) 116tan44x18tan24x14lncosx+C\frac { 1 } { 16 } \tan ^ { 4 } 4 x - \frac { 1 } { 8 } \tan ^ { 2 } 4 x - \frac { 1 } { 4 } \ln | \cos x | + C
D) 116tan44x18tan24x+14lncosx+C\frac { 1 } { 16 } \tan ^ { 4 } 4 x - \frac { 1 } { 8 } \tan ^ { 2 } 4 x + \frac { 1 } { 4 } \ln | \cos x | + C

Correct Answer:

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