Ratkaise 1/2log_{e}({{left(cot(x/2)right)}^2+1})+C

$$\frac{ 1 }{ 2 } \log_{ e }({ { \left( \cot ( \frac{ x }{ 2 } ) \right) }^{ 2 } +1 }) +C$$

Jaa tekijöihin

$$\frac{-\ln(\left(\sin(\frac{x}{2})\right)^{2})+2C}{2}$$

Ratkaisun vaiheet

Jaa tekijöihin \frac{1}{2}:n suhteen.

$$\frac{\log_{e}\left(\left(\cot(\frac{x}{2})\right)^{2}+1\right)+2C}{2}$$

Laske

$$\frac{-\ln(\left(\sin(\frac{x}{2})\right)^{2})+2C}{2}$$