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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- 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

\int_{0}^{5} 1 + \frac{9}{4} x d x

\int_{1}^{3} (3 x + 2) d x

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

\int_{0}^{2 π} - sin (t) d t

\int_{1}^{0} 1

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