[tex] \int\limits^1_0 {x \sqrt{1- x^{2}}} \, dx = \frac{-1}{2} \int\limits^1_0 {-2x \sqrt{1- x^{2}}} \, dx = \frac{-1}{2} \int\limits^1_0 {(1- x^{2})' (1- x^{2} )^{ \frac{3}{2} }} \, dx [/tex]
[tex]= \frac{-1}{2} \frac{ (1- x^{2})^{ \frac{5}{2}}}{ \frac{5}{2}} luat-intre-0-si-1[/tex]
