Question

Integral de : x^2 dx dividido por raiz de x

Answer 1

$\int\limits \frac{x^2 }{ \sqrt{x} } \, dx =$

$\sqrt{x} = x^ \frac{1}{2}$

$\int\limits \frac{x^2 }{x^ \frac{1}{2} } \, dx$

$\frac{x^2}{x^ \frac{1}{2} } = x^2^-^ \frac{1}{2} = x^ \frac{3}{2}$


$\int\limits x^ \frac{3}{2} \, dx = \frac{2}{5} x^ \frac{5}{2} + C$