en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (2y)/3

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

= \frac{2}{3} \cdot \int y d y

Apply the Power Rule

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

tangent of f(x)=x^4+4x^2-x,\at x=1

integral of sin^5(7x)cos^2(7x)

derivative of 2sqrt(x)-3\sqrt[3]{x}

derivative of asin(x+bcos(x))

integral of (ln(x^7))/x

Frequently Asked Questions (FAQ)

What is the integral of (2y)/3 ?
The integral of (2y)/3 is (y^2)/3+C