What is the integral from 1 to 5 of x^2-2x-8 ?

The integral from 1 to 5 of x^2-2x-8 is -44/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 1 to 5 of x^2-2x-8

\int_{1}^{5} x^{2} - 2 x - 8 d x

- \frac{44}{3}

Decimal

- 14.66666 \dots

Solution steps

\int_{1}^{5} x^{2} - 2 x - 8 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_{1}^{5} x^{2} d x - \int_{1}^{5} 2 x d x - \int_{1}^{5} 8 d x

\int_{1}^{5} x^{2} d x = \frac{124}{3}

\int_{1}^{5} 2 x d x = 24

\int_{1}^{5} 8 d x = 32

= \frac{124}{3} - 24 - 32

Simplify

\frac{124}{3} - 24 - 32 : - \frac{44}{3}

= - \frac{44}{3}

What is the integral from 1 to 5 of x^2-2x-8 ?
The integral from 1 to 5 of x^2-2x-8 is -44/3