en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (4x)/3

Solution

\int \frac{4 x}{3} d x

Solution

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

Solution steps

\int \frac{4 x}{3} d x

Take the constant out:

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

= \frac{4}{3} \cdot \int x d x

Apply the Power Rule

= \frac{4}{3} \cdot \frac{x ^{2}}{2}

Simplify

\frac{4}{3} \cdot \frac{x ^{2}}{2} : \frac{2 x ^{2}}{3}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of-5sin(t)

integral of ((sqrt(x)+3)^5)/(2sqrt(x))

integral of 2/((2-y)^2)\sqrt[3]{(2-y)/(2+y)}

integral of 1/(xsqrt(25x^2-9))

integral of sin(1/3)xsec^2(1/3)x

Frequently Asked Questions (FAQ)

What is the integral of (4x)/3 ?
The integral of (4x)/3 is (2x^2)/3+C