${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(x-1)\sqrt[\phantom{2}]{x}dx=$

$\frac{3}{2}\sqrt[\phantom{2}]{x}-\frac{1}{\sqrt[\phantom{2}]{x}}+C$

$\frac{2}{3}{x}^{\frac{3}{2}}+\frac{1}{2}{x}^{\frac{1}{2}}+C$

$\frac{1}{2}{x}^2-x+C$

$\frac{2}{5}{x}^{\frac{5}{2}}-\frac{2}{3}{x}^{\frac{3}{2}}+C$

$\frac{1}{2}{x}^2+2x^{\frac{3}{2}}-x+C$