en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 0 to 2 of (x^2-1)

Solution

\int_{0}^{2} (x^{2} - 1) d x

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

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

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

\int_{0}^{2} 1 d x = 2

= \frac{8}{3} - 2

Simplify

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

= \frac{2}{3}

Graph

Popular Examples

(cos(9x))y^'-9(tan(9x))y=9sec(9x)

integral of 1/(sqrt(3-4r-r^2))

integral of (3x^3+8x)/((x^2+2)^2)

(\partial)/(\partial x)(sqrt(p(q,x)q))

derivative of x(2x+3^4)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2-1) ?
The integral from 0 to 2 of (x^2-1) is 2/3