en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1/(x^{1/3)}

Solution

integral

\frac{1}{x ^{\frac{1}{3}}}

Solution

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

Solution steps

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

Apply the Power Rule

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (10)/x

integral of 1-2x

integral of (x+1)^3

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

integral of (x^2+1)/(x^2)

Frequently Asked Questions (FAQ)

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