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

The integral of (x/(sqrt(x))) is 2/3 x^{3/2}+C

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integral of (x/(sqrt(x)))

\int (\frac{x}{x}) d x

\frac{2}{3} x^{\frac{3}{2}} + C

Solution steps

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

Simplify

\frac{x}{x} : x

= \int x d x

Apply the Power Rule

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

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

Add a constant to the solution

= \frac{2}{3} x^{\frac{3}{2}} + C

\frac{\partial}{\partial x} ((2 x)^{x})

\frac{d}{d x} ((tan (x)) d x)

\frac{d y}{d x} - 2 y + x^{2} = 0

\int_{1}^{11} \frac{1}{x - 7} d x

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

What is the integral of (x/(sqrt(x))) ?
The integral of (x/(sqrt(x))) is 2/3 x^{3/2}+C