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

2 x^{3}

Solution

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

Solution steps

\int 2 x^{3} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of x/((3-x^2)^2)

\int \frac{x}{( 3 - x ^{2} ) ^{2}} d x

integral of (e^x)/(\sqrt[3]{1+e^x)}

\int \frac{e ^{x}}{3 1 + e ^{x}} d x

integral of (x+5)^{10}

\int (x + 5)^{10} d x

integral of ((x-1))/(e^x)

\int \frac{( x - 1 )}{e ^{x}} d x

integral of x/((1+4x)^2)

\int \frac{x}{( 1 + 4 x ) ^{2}} d x

Frequently Asked Questions (FAQ)

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