Question

The value of definite integral $\underset{0}{\overset{1}{\int }}\left(\sqrt{1-x^2}\cdot \ln x\right)dx$ is equal to

• A. $\frac{-\pi }{4}\ln 2$
• B. $\frac{-\pi }{8}\ln 2$
• C. $\frac{-\pi }{4}\ln 2-\frac{\pi }{8}$
• D. $\frac{-\pi }{8}\ln 2-\frac{\pi }{4}$

Answer 1

Answer: (C)

Correct answer is (c) $\frac{-\pi }{4}\ln 2-\frac{\pi }{8}$