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 2x^2-2

Solution

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

Solution

- \frac{8}{3}

+1

Decimal

- 2.66666 \dots

Solution steps

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

\int_{- 1}^{1} 2 x^{2} d x = \frac{4}{3}

\int_{- 1}^{1} 2 d x = 4

= \frac{4}{3} - 4

Simplify

\frac{4}{3} - 4 : - \frac{8}{3}

= - \frac{8}{3}

Graph

Popular Examples

integral from 0 to pi of tsin(nt)

\int_{0}^{π} t sin (n t) d t

integral from 5 to 10 of 1/(x^2)

\int_{5}^{10} \frac{1}{x ^{2}} d x

integral from 1 to e of 1/(y(1+ln(y)))

\int_{1}^{e} \frac{1}{y ( 1 + ln ( y ) )} d y

integral from 0 to 9 of x/(sqrt(x^2+19))

\int_{0}^{9} \frac{x}{x ^{2} + 19} d x

integral from 1 to 3 of 3x-2

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 2x^2-2 ?
The integral from-1 to 1 of 2x^2-2 is -8/3