en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

\int_{0}^{2} 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_{0}^{2} x^{2} d x - \int_{0}^{2} x d x

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} x d x = 2

= \frac{8}{3} - 2

Simplify

\frac{8}{3} - 2 : \frac{2}{3}

= \frac{2}{3}

Graph

Popular Examples

integral from 0 to 1 of 1/(xsqrt(x))

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

integral from 0 to x of ln(z+2)

\int_{0}^{x} ln (z + 2) d z

integral from 0 to x of t

\int_{0}^{x} t d t

integral from 0 to ln(3) of 5e^x

\int_{0}^{l n (3)} 5 e^{x} d x

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

\int_{- \frac{π}{2}}^{\frac{π}{2}} sin^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2-x) ?
The integral from 0 to 2 of (x^2-x) is 2/3