en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 3 of x-x^3

Solution

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

Solution

- 16

Solution steps

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

\int_{- 1}^{3} x d x = 4

\int_{- 1}^{3} x^{3} d x = 20

= 4 - 20

Simplify

= - 16

Graph

Popular Examples

integral from y^2 to 1 of 4y

\int_{y^{2}}^{1} 4 y d y

integral from 1 to infinity of x/(x^2)

\int_{1}^{\infty} \frac{x}{x ^{2}} d x

integral from 0 to 1 of 1/(sqrt(2-x))

\int_{0}^{1} \frac{1}{2 - x} d x

integral from-3 to 0 of xf(x^2)

\int_{- 3}^{0} x f (x^{2}) d x

integral from-2 to 2 of (5-3sqrt(4-x^2))

\int_{- 2}^{2} (5 - 3 4 - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of x-x^3 ?
The integral from-1 to 3 of x-x^3 is -16