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}

= - \frac{2}{x}

Add a constant to the solution

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

x \to 1 lim (2 x^{2} - 4 x + 2)

\frac{\partial}{\partial y} (\frac{3 y}{x ^{5}})

y^{^{''}} - 3 y^{^{'}} + 4 y = x e^{x}

\frac{d}{d x} (1 (- 5 x + 3) (- 3 x + 2))

\int \frac{( e ^{x} )}{e ^{x} + 1} d x

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