en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (8x^3)/3

Solution

\int \frac{8 x ^{3}}{3} d x

Solution

\frac{2 x ^{4}}{3} + C

Solution steps

\int \frac{8 x ^{3}}{3} d x

Take the constant out:

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

= \frac{8}{3} \cdot \int x^{3} d x

Apply the Power Rule

: \frac{x ^{4}}{4}

= \frac{8}{3} \cdot \frac{x ^{4}}{4}

Simplify

\frac{8}{3} \cdot \frac{x ^{4}}{4} : \frac{2 x ^{4}}{3}

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

Add a constant to the solution

= \frac{2 x ^{4}}{3} + C

Graph

Popular Examples

tangent of (2x-1)^2ln(2x-1),\at x=0 tangent of

(2 x - 1)^{2} ln (2 x - 1), at x = 0

derivative of 3x^2cos(x^3)

\frac{d}{d x} (3 x^{2} cos (x^{3}))

(dy)/(dt)+3y=cos(2t)

\frac{d y}{d t} + 3 y = cos (2 t)

inverse oflaplace 1/(5s+2)inverse laplace

\frac{1}{5 s + 2}

(\partial)/(\partial x)(sin^3(x-5y))

\frac{\partial}{\partial x} (sin^{3} (x - 5 y))

Frequently Asked Questions (FAQ)

What is the integral of (8x^3)/3 ?
The integral of (8x^3)/3 is (2x^4)/3+C