en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 2 of x^2-4x

Solution

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

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

\int_{- 2}^{2} x^{2} - 4 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_{- 2}^{2} x^{2} d x - \int_{- 2}^{2} 4 x d x

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

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

= \frac{16}{3} - 0

Simplify

= \frac{16}{3}

Graph

Popular Examples

integral from 0 to sin(θ) of sec^2(y)

\int_{0}^{s i n (θ)} sec^{2} (y) d y

integral from-2 to infinity of e^{-3x}

\int_{- 2}^{\infty} e^{- 3 x} d x

integral from 0 to 4/11 of 1/(121x^2+16)

\int_{0}^{\frac{4}{11}} \frac{1}{121 x ^{2} + 16} d x

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

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

integral from 2 to 7 of (8x)/(x^2+1)

\int_{2}^{7} \frac{8 x}{x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of x^2-4x ?
The integral from-2 to 2 of x^2-4x is 16/3