Question

решить интеграл ∫ $\frac{x^2- \sqrt{x} }{ \sqrt{x} }$ dx

Answer 1

$\int \frac{x^2-\sqrt{x}}{\sqrt{x}} \dx=\int (x^{3/2}-1)dx= \frac{x^{5/2}}{5/2}-x+C=\frac{2}{5}\cdot \sqrt{x^5} -x+C$