Question

Cat face integrala din x patrat supra radical din x?

Answer 1

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