Explanation

Integrate \(\frac{x^2 - \sqrt{x}}{x}\) with respect to x

∫\(\frac{x^2 - \sqrt{x}}{x}\)dx = ∫(\(\frac{x^2}{x} - \frac {\sqrt{x}}{x}\))dx

= ∫(x - x^{\(\frac{1}{2}\)})dx

= \(\frac{x^2}{2}\) - \(\frac{x^{\frac{1}{2}}}{\frac{1}{2}}\) + k

= \(\frac{x^2}{2}\) - 2\(\sqrt{x}\) + k

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