en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^{-1/3}

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial x)(2e^2+e^y(2x+2y))

\frac{\partial}{\partial x} (2 e^{2} + e^{y} (2 x + 2 y))

integral from 2 to infinity of 1/(x^5)

\int_{2}^{\infty} \frac{1}{x ^{5}} d x

area x^2,x+6 area

x^{2}, x + 6

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

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

derivative of 2x*e^{3x}

\frac{d}{d x} (2 x \cdot e^{3 x})

Frequently Asked Questions (FAQ)

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