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 (1-x^2)

Solution

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

Solution

- \frac{2}{3}

+1

Decimal Notation

- 0.66666 \dots

Solution steps

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

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

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

= 2 - \frac{8}{3}

Simplify

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

= - \frac{2}{3}

Popular Examples

integral from 1 to infinity of 8x^{-9}

\int_{1}^{\infty} 8 x^{- 9} d x

integral from 1 to 2 of 1/(x^2-3x+2)

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

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

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

integral from 0 to 6 of (x^2-6x)

\int_{0}^{6} (x^{2} - 6 x) d x

integral from 1 to 4 of x^3e^x

\int_{1}^{4} x^{3} e^{x} d x

Frequently Asked Questions (FAQ)

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