en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (2x)/3

Solution

integral

\frac{2 x}{3}

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of ((t+1))/t integral

\frac{( t + 1 )}{t}

integral of (e^{-2}x)sinh^2(x)integral

(e^{- 2} x) sinh^{2} (x)

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

\frac{x}{( 2 x ^{2} + 1 )}

integral of sin^3(2x+5)integral

sin^{3} (2 x + 5)

integral of 3x^2(x^3+1)^{10}integral

3 x^{2} (x^{3} + 1)^{10}

Frequently Asked Questions (FAQ)

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