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Question Number 125965 by bramlexs22 last updated on 16/Dec/20

$$\int \cot x\ln \left(\sin x\right)dx?$$

Answered by Lordose last updated on 16/Dec/20

$$$$$$\int \cot \left(\mathrm{x}\right)\ln \left(\sin \left(\mathrm{x}\right)\right)\mathrm{dx}\stackrel{\mathrm{u}=\ln \left(\sin \left(\mathrm{x}\right)\right)}{=}\int \mathrm{udu}$$$$=\frac{{\mathrm{u}}^2}{2}+\mathrm{C}=\frac{{\ln }^2\sin \left(\mathrm{x}\right)}{2}+\mathrm{C}$$

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