What is the integral of 1/(3sqrt(x)) ?

The integral of 1/(3sqrt(x)) is 2/3 sqrt(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(3sqrt(x))

\int \frac{1}{3 x} d x

\frac{2}{3} x + C

Solution steps

\int \frac{1}{3 x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{3} \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= \frac{1}{3} \cdot 2 x^{\frac{1}{2}}

Simplify

\frac{1}{3} \cdot 2 x^{\frac{1}{2}} : \frac{2}{3} x

= \frac{2}{3} x

Add a constant to the solution

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

\int (tan (x))^{3} (sec (x))^{2} d x

\frac{1}{x ^{4}}

\frac{d}{d x} (x^{4} + 5 x^{- 1})

\frac{\partial}{\partial y} (sec^{2} (y t))

\frac{d}{d x} (e^{2 s i n (3 x)})

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