Question

integral X root x dx

Answer 1

$\int x\sqrt{x}dx\\\\=\int x^{\frac{3}{2}}dx\\\\= \frac{x^{\frac{3}{2}+1}}{\frac{3}{2}+1} + C\\\\= \frac{x^{\frac{5}{2}}}{\frac{5}{2}} + C\\\\=\frac{2x^{\frac{5}{2}}}{5} + C$