What is the integral from 1/2 to 3/2 of (-2x+4) ?

The integral from 1/2 to 3/2 of (-2x+4) is 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 1/2 to 3/2 of (-2x+4)

\int_{\frac{1}{2}}^{\frac{3}{2}} (- 2 x + 4) d x

2

Solution steps

\int_{\frac{1}{2}}^{\frac{3}{2}} - 2 x + 4 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_{\frac{1}{2}}^{\frac{3}{2}} 2 x d x + \int_{\frac{1}{2}}^{\frac{3}{2}} 4 d x

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

\int_{\frac{1}{2}}^{\frac{3}{2}} 4 d x = 4

= - 2 + 4

Simplify

= 2

What is the integral from 1/2 to 3/2 of (-2x+4) ?
The integral from 1/2 to 3/2 of (-2x+4) is 2