Integrate x2−√xx x 2 − x x with respect to ..

Question 1 Report

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

\frac{x^{2} - \sqrt{x}}{x^{2}}

+ k

\frac{x^{2}}{2}

\sqrt{x}

+ k

\frac{2 (x^{2} - x)}{3 x}

+ k

\frac{x^{2}}{2}

- 2

\sqrt{x}

+ k

Answer Details

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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Integration

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Integrate x2−√xx x 2 − x x with respect to x