en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of y^{-2/3}

Solution

\int y^{- \frac{2}{3}} d y

Solution

3 y^{\frac{1}{3}} + C

Solution steps

\int y^{- \frac{2}{3}} d y

Apply the Power Rule

: 3 y^{\frac{1}{3}}

= 3 y^{\frac{1}{3}}

Add a constant to the solution

= 3 y^{\frac{1}{3}} + C

Popular Examples

integral from 0 to pi/2 of 16cos^5(x)

\int_{0}^{\frac{π}{2}} 16 cos^{5} (x) d x

derivative of ln(xe^{sqrt(x)}+4)derivative of

ln (x e^{x} + 4)

(d^2y)/(dx^2)-2(dy)/(dx)+y=2e^x

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = 2 e^{x}

limit as x approaches infinity of xsin((3pi)/x)

x \to \infty lim (x sin (\frac{3 π}{x}))

integral from 1 to 4 of sqrt(y)ln(y)

\int_{1}^{4} y ln (y) d y

Frequently Asked Questions (FAQ)

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