en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

36

Solution steps

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

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

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

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

= - 24 + 12 + 48

Simplify

= 36

Graph

Popular Examples

integral from-3 to 3 of x^2+x+1

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

integral from 0 to 1 of x^{-2}ln(x)

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

integral from-2 to 2 of (x^2-y^2)

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

integral from 0 to 1 of (1-x)^3

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

integral from 0 to 2 of sqrt(2x+1)

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

Frequently Asked Questions (FAQ)

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