en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

- \frac{81}{2}

+1

Decimal

- 40.5

Solution steps

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

\int_{- 6}^{3} x^{2} d x = 81

\int_{- 6}^{3} 3 x d x = - \frac{81}{2}

= - 81 - (- \frac{81}{2})

Simplify

- 81 - (- \frac{81}{2}) : - \frac{81}{2}

= - \frac{81}{2}

Graph

Popular Examples

integral from-8 to 8 of e

\int_{- 8}^{8} e d x

integral from 0 to 2 of x^2sin(y)

\int_{0}^{2} x^{2} sin (y) d x

integral from 0 to 9 of e^x

\int_{0}^{9} e^{x} d x

integral from 1 to infinity of ln(1/x)

\int_{1}^{\infty} ln (\frac{1}{x}) d x

integral from 0 to 3 of te^{-0.4t}

\int_{0}^{3} t e^{- 0.4 t} d t

Frequently Asked Questions (FAQ)

What is the integral from-6 to 3 of-x^2-3x ?
The integral from-6 to 3 of-x^2-3x is -81/2