en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-4 to 4 of (x-2)

Solution

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

Solution

- 16

Solution steps

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

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

\int_{- 4}^{4} 2 d x = 16

= 0 - 16

Simplify

= - 16

Popular Examples

integral from 2 to 3 of x^2+3

\int_{2}^{3} x^{2} + 3 d x

integral from 0 to pi/2 of-xcos(x)+x

\int_{0}^{\frac{π}{2}} - x cos (x) + x d x

integral from x-2 to x^2 of sqrt(t-1)

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

integral from 0 to 1 of x^2(1+2x^3)

\int_{0}^{1} x^{2} (1 + 2 x^{3}) d x

integral from 0 to 1 of (x^2-4x+2)

\int_{0}^{1} (x^{2} - 4 x + 2) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 4 of (x-2) ?
The integral from-4 to 4 of (x-2) is -16