en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-1 to 1 of x^3-x^2

Solution

\int_{- 1}^{1} x^{3} - x^{2} d x

Solution

- \frac{2}{3}

+1

Decimal

- 0.66666 \dots

Solution steps

\int_{- 1}^{1} x^{3} - x^{2} 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}^{1} x^{3} d x - \int_{- 1}^{1} x^{2} d x

\int_{- 1}^{1} x^{3} d x = 0

\int_{- 1}^{1} x^{2} d x = \frac{2}{3}

= 0 - \frac{2}{3}

Simplify

= - \frac{2}{3}

Graph

Popular Examples

integral from 1 to 2 of (Inx)/x

integral from 0 to pi of e^{x/2}cos(x)

integral from 1 to 2 of sqrt(18x+37)

integral from-3 to x of 1/3 (1+x/3)

integral from pi/4 to pi/2 of 2x-sin(2x)

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^3-x^2 ?
The integral from-1 to 1 of x^3-x^2 is -2/3