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 1 of x^2-2x

Solution

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

Solution

6

Solution steps

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

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

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

= 3 - (- 3)

Simplify

= 6

Graph

Popular Examples

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

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

integral from-1 to 0 of 2x^2

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

integral from 3 to 9 of 2/(11-4x)

\int_{3}^{9} \frac{2}{11 - 4 x} d x

integral from 4 to infinity of 1/(3x-10)

\int_{4}^{\infty} \frac{1}{3 x - 10} d x

integral from-1 to 3 of 5x^2

\int_{- 1}^{3} 5 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of x^2-2x ?
The integral from-2 to 1 of x^2-2x is 6