What is the integral of x/(x^{1/2)} ?

The integral of x/(x^{1/2)} is 2/3 x^{3/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x/(x^{1/2)}

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

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

Solution steps

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

Simplify

\frac{x}{x ^{\frac{1}{2}}} : x^{\frac{1}{2}}

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

\int e^{x} (3 + 2 e^{x})^{4} d x

\int \frac{1}{x ^{3} + 5 x} d x

\int \frac{1}{16 x ^{4}} d x

\int (sin (5) y^{2}) 5 y d y

\int \frac{csc ( 2 x )}{x} d x

What is the integral of x/(x^{1/2)} ?
The integral of x/(x^{1/2)} is 2/3 x^{3/2}+C