en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 24x^3

Solution

\int 24 x^{3} d x

Solution

6 x^{4} + C

Solution steps

\int 24 x^{3} d x

Take the constant out:

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

= 24 \cdot \int x^{3} d x

Apply the Power Rule

= 24 \cdot \frac{x ^{4}}{4}

Simplify

24 \cdot \frac{x ^{4}}{4} : 6 x^{4}

= 6 x^{4}

Add a constant to the solution

= 6 x^{4} + C

Graph

Popular Examples

limit as x approaches 2 of (x-2)/(2-x)

x \to 2 lim (\frac{x - 2}{2 - x})

derivative of 2/(t+1)

d er i v a t i v e \frac{2}{t + 1}

derivative of 46-x/(250)

d er i v a t i v e 46 - \frac{x}{250}

derivative of (12)/(x^2(x-3))

d er i v a t i v e \frac{12}{x ^{2} ( x - 3 )}

integral of (4x^3y^2-2xy^3)

\int (4 x^{3} y^{2} - 2 x y^{3}) d x

Frequently Asked Questions (FAQ)

What is the integral of 24x^3 ?
The integral of 24x^3 is 6x^4+C