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^2-2x)

Solution

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

Solution

- \frac{4}{3}

+1

Solution steps

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

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

\int_{0}^{2} 2 x d x = 4

= \frac{8}{3} - 4

Simplify

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

= - \frac{4}{3}

Popular Examples

integral of sin^2(x+4)

\int sin^{2} (x + 4) d x

integral from 1 to infinity of xe^{-4x}

\int_{1}^{\infty} x e^{- 4 x} d x

integral of sin^4(4θ)

\int sin^{4} (4 θ) d θ

integral of ((16)/(1+x^2))

\int (\frac{16}{1 + x ^{2}}) d x

derivative of sin(x^2)derivative of

sin (x^{2})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^2-2x) ?
The integral from 0 to 2 of (x^2-2x) is -4/3