en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 12x^3

Solution

\int 12 x^{3} d x

Solution

3 x^{4} + C

Solution steps

\int 12 x^{3} d x

Take the constant out:

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

= 12 \cdot \int x^{3} d x

Apply the Power Rule

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

= 12 \cdot \frac{x ^{4}}{4}

Simplify

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

= 3 x^{4}

Add a constant to the solution

= 3 x^{4} + C

Graph

Popular Examples

laplacetransform 250 laplace transform

250

limit as x approaches 0 of sqrt(x+1)

x \to 0 lim (x + 1)

limit as x approaches 0 of ((e^x-1))/x

x \to 0 lim (\frac{( e ^{x} - 1 )}{x})

integral of (4x^3-3x^2+6x-1)

\int (4 x^{3} - 3 x^{2} + 6 x - 1) d x

limit as x approaches 0 of sin(x)ln(2x)

x \to 0 lim (sin (x) ln (2 x))

Frequently Asked Questions (FAQ)

What is the integral of 12x^3 ?
The integral of 12x^3 is 3x^4+C