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Evaluate the Integral ∫x/6x/33ln⁡(tan⁡x)7sin⁡xcos⁡xdx\int _ { x / 6 } ^ { x / 3 } \frac { 3 \ln ( \tan x ) } { 7 \sin x \cos x } d x

Question 63

Multiple Choice

Evaluate the integral. ∫x/6x/33ln⁡(tan⁡x) 7sin⁡xcos⁡xdx\int _ { x / 6 } ^ { x / 3 } \frac { 3 \ln ( \tan x ) } { 7 \sin x \cos x } d x


A) −15(ln⁡2) 2- \frac { 1 } { 5 } ( \ln 2 ) ^ { 2 }
B) −12(ln⁡3) 2- \frac { 1 } { 2 } ( \ln 3 ) ^ { 2 }
C) 0
D) 16(ln⁡3) 2\frac { 1 } { 6 } ( \ln 3 ) ^ { 2 }
E) 12(ln⁡3) 2\frac { 1 } { 2 } ( \ln 3 ) ^ { 2 }

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