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 1 of (x^2-x)

Solution

\int_{- 1}^{1} (x^{2} - x) d x

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

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

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

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

= \frac{2}{3} - 0

Simplify

= \frac{2}{3}

Popular Examples

\int 4 r d r

integral of 1/(x-9)

\int \frac{1}{x - 9} d x

implicit y/(x-5y)=x^7+9 implicit derivative

\frac{y}{x - 5 y} = x^{7} + 9

xe^y(dy)/(dx)=2(e^y+x^3e^{2x})

x e^{y} \frac{d y}{d x} = 2 (e^{y} + x^{3} e^{2 x})

(dy)/(dx)=e^{5x}+10y

\frac{d y}{d x} = e^{5 x} + 10 y

Frequently Asked Questions (FAQ)

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