What is the integral of (1/(xsqrt(x))) ?

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

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integral of (1/(xsqrt(x)))

\int (\frac{1}{x 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}

Add a constant to the solution

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

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