What is the integral of 1/(x*sqrt(x)) ?

The integral of 1/(x*sqrt(x)) is -2/(sqrt(x))+C

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integral of 1/(x*sqrt(x))

\int \frac{1}{x \cdot x} d x

- \frac{2}{x} + C

Solution steps

\int \frac{1}{x x} d x

Simplify

x x : x^{\frac{3}{2}}

= \int \frac{1}{x ^{\frac{3}{2}}} d x

Apply the Power Rule

: - \frac{2}{x}

= - \frac{2}{x}

Add a constant to the solution

= - \frac{2}{x} + C

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What is the integral of 1/(x*sqrt(x)) ?
The integral of 1/(x*sqrt(x)) is -2/(sqrt(x))+C