en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1-x^3

Solution

\int 1 - x^{3} d x

Solution

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

Solution steps

\int 1 - x^{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 1 d x - \int x^{3} d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of f(x)=(x+sqrt(2x))(2x+1)

integral of 20-3sqrt(16-2x)

area y=3x,y=x^2

taylor e^xln(1+x)

limit as x approaches 4 of (3-x)/(x-4)

Frequently Asked Questions (FAQ)

What is the integral of 1-x^3 ?
The integral of 1-x^3 is x-(x^4)/4+C