[tex] \int\limits {cos(x)\cdot \sqrt{ 2sin(x)-1}} \, dx \\
u=\sqrt{ 2sin(x)-1}\\du= \frac{1}{2u}\cdot 2cos(x)dx=>cos(x)dx=udu\\ \int\limits {cos(x)\cdot \sqrt{ 2sin(x)-1} \, dx= \int\limits {u^2} \, du=\\= \frac{1}{3} u^3+C=\frac{1}{3} \sqrt{ 2sin(x)-1}^3[/tex]
