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

Question 89

Multiple Choice

Evaluate the integral. ∫x/6π/33ln⁡(tan⁡x) 7sin⁡xcos⁡xdx\int_{x / 6}^{\pi / 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}

Correct Answer:

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