What is the integral from-5 to 5 of 3x^2-6x-9 ?

The integral from-5 to 5 of 3x^2-6x-9 is 160

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-5 to 5 of 3x^2-6x-9

\int_{- 5}^{5} 3 x^{2} - 6 x - 9 d x

160

Solution steps

\int_{- 5}^{5} 3 x^{2} - 6 x - 9 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_{- 5}^{5} 3 x^{2} d x - \int_{- 5}^{5} 6 x d x - \int_{- 5}^{5} 9 d x

\int_{- 5}^{5} 3 x^{2} d x = 250

\int_{- 5}^{5} 6 x d x = 0

\int_{- 5}^{5} 9 d x = 90

= 250 - 0 - 90

Simplify

= 160

What is the integral from-5 to 5 of 3x^2-6x-9 ?
The integral from-5 to 5 of 3x^2-6x-9 is 160