Question

Solve $\int (1-x)\sqrt{x}dx$

Answer 1

$\int \left(1-x\right)\sqrt{x}dx$

$=\int \left(\sqrt{x}-x\sqrt{x}\right)dx$

$=\int \left(x^{\frac{1}{2}}-x^{\frac{3}{2}}\right)dx$

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