en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4/3 x^2

Solution

\int \frac{4}{3} x^{2} d x

Solution

\frac{4 x ^{3}}{9} + C

Solution steps

\int \frac{4}{3} x^{2} 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^{2} d x

Apply the Power Rule

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

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

Simplify

\frac{4}{3} \cdot \frac{x ^{3}}{3} : \frac{4 x ^{3}}{9}

= \frac{4 x ^{3}}{9}

Add a constant to the solution

= \frac{4 x ^{3}}{9} + C

Popular Examples

derivative of arcsin(x-2)derivative of

arcsin (x - 2)

(\partial)/(\partial t)(t+3e^s)

\frac{\partial}{\partial t} (t + 3 e^{s})

y^{^{''}} + y^{^{'}} = 9

(\partial)/(\partial x)(x^5v^2+2y^3u-3)

\frac{\partial}{\partial x} (x^{5} v^{2} + 2 y^{3} u - 3)

integral of y^{1/3}

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

Frequently Asked Questions (FAQ)

What is the integral of 4/3 x^2 ?
The integral of 4/3 x^2 is (4x^3)/9+C