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}}

Add a constant to the solution

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

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

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

\int 3 x^{2} cos (x^{3} + 2) d x

\frac{d}{d x} (3 x^{2} - 7 x + 10)

t an g e n t f (x) = 2 x^{2} + 5 x - 3

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