What is the integral from-4 to 2 of (x^2+2x-8) ?

The integral from-4 to 2 of (x^2+2x-8) is -36

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-4 to 2 of (x^2+2x-8)

\int_{- 4}^{2} (x^{2} + 2 x - 8) d x

- 36

Solution steps

\int_{- 4}^{2} 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_{- 4}^{2} x^{2} d x + \int_{- 4}^{2} 2 x d x - \int_{- 4}^{2} 8 d x

\int_{- 4}^{2} x^{2} d x = 24

\int_{- 4}^{2} 2 x d x = - 12

\int_{- 4}^{2} 8 d x = 48

= 24 - 12 - 48

Simplify

= - 36

\int_{- \frac{π}{6}}^{\frac{π}{6}} 7 sec^{2} (x) d x

\int_{0}^{y} e^{- y} d y

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

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

\int_{0}^{1} 1 + u^{2} d u

What is the integral from-4 to 2 of (x^2+2x-8) ?
The integral from-4 to 2 of (x^2+2x-8) is -36