Question

Evaluate the integral ${\int }_0^{\pi /2}\sin \left(\theta \right)\cdot \log \left(\sin \theta \right)d\theta$

• A. $2\log 2$
• B. ${\log }_e\left(2e\right)$
• C. $\log \left(\frac{e}{2}\right)$
• D. $\log \left(\frac{2}{e}\right)$

Answer 1

The correct option is D $\log \left(\frac{2}{e}\right)$