en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-1 to 3 of-3x^2+6x+9

Solution

\int_{- 1}^{3} - 3 x^{2} + 6 x + 9 d x

Solution

32

Solution steps

\int_{- 1}^{3} - 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_{- 1}^{3} 3 x^{2} d x + \int_{- 1}^{3} 6 x d x + \int_{- 1}^{3} 9 d x

\int_{- 1}^{3} 3 x^{2} d x = 28

\int_{- 1}^{3} 6 x d x = 24

\int_{- 1}^{3} 9 d x = 36

= - 28 + 24 + 36

Simplify

= 32

Graph

Popular Examples

integral from 0 to pi/6 of 1/(cos^2(8x))

integral from-1 to 1 of 2x+4

integral from 0 to 4 of 6(1-sqrt(x))^2

integral from 3 to 4 of x^2+2x+2-8

integral from 0 to X of 1/(1-X)

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of-3x^2+6x+9 ?
The integral from-1 to 3 of-3x^2+6x+9 is 32