en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x^3-4

Solution

\int x^{3} - 4 d x

Solution

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

Solution steps

\int x^{3} - 4 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{3} d x - \int 4 d x

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

\int 4 d x = 4 x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of ((sin(x))^2)/((cos(x))^3)

integral of (ln^2(x))/(sqrt(x))

integral of 2x(x^2+7)^3

integral of 5xe^{9x^2}

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

Frequently Asked Questions (FAQ)

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