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# Integrate : $\int \limits_0^{\large\frac{\pi}{2}}$$\log \sin ^2 x \;dx $\begin {array} {1 1} (a)\;\pi \log \bigg(\frac{1}{2}\bigg) \\ (b)\;\log \bigg(\frac{1}{2}\bigg) \\ (c)\;3 \pi \log\bigg(\frac{1}{2}\bigg) \\ (d)\;None \end {array}$ Can you answer this question? ## 1 Answer 0 votes \int \limits_0^{\large\frac{\pi}{2}} \log (\sin x)^2 dx 2\int \limits_0^{\large\frac{\pi}{2}} \log \sin x dx => 2. \large\frac{\pi}{2}$$. \log (1/2)$
=> $\pi. \log (1/2)$
Hence a is the correct answer.