en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of y^{-1/3}

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral of (5x-12)/(x^3-6x^2+8x)

\int \frac{5 x - 12}{x ^{3} - 6 x ^{2} + 8 x} d x

integral of (x-3)/(x^2+1)

\int \frac{x - 3}{x ^{2} + 1} d x

tangent of 7/(2x+1),\at a=4 tangent of

\frac{7}{2 x + 1}, at a = 4

tangent of 2x^3-6x^2-90x+1 tangent of

2 x^{3} - 6 x^{2} - 90 x + 1

tangent of 4x-4sqrt(x)tangent of

4 x - 4 x

Frequently Asked Questions (FAQ)

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