Question

The value of the definite integral $\underset{0}{\overset{\pi /3}{\int }}\tan x\cdot \ln (\cos x)dx$ equals

• A. $-\ln 2$
• B. $\frac{{\ln }^{2}2}{2}$
• C. $-\frac{{\ln }^{2}2}{2}$
• D. $-{\ln }^{2}2$

Answer 1

Answer: (C)

Correct answer is (c) $-\frac{{\ln }^{2}2}{2}$