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^3-3

Solution

\int x^{3} - 3 d x

Solution

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

Solution steps

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Graph

Popular Examples

d/(dθ)(e^{tan(θ)})

integral of (2xsqrt(x)-1/(sqrt(x)))

3y^{''}-11y^'+10y=0,y(0)=8,y^'(0)=-4

laplacetransform 5sin(t)

integral of e^t+e^{-t}

Frequently Asked Questions (FAQ)

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