en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-7 to 3 of-x^2-3x

Solution

\int_{- 7}^{3} - x^{2} - 3 x d x

Solution

- \frac{190}{3}

+1

Decimal

- 63.33333 \dots

Solution steps

\int_{- 7}^{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_{- 7}^{3} x^{2} d x - \int_{- 7}^{3} 3 x d x

\int_{- 7}^{3} x^{2} d x = \frac{370}{3}

\int_{- 7}^{3} 3 x d x = - 60

= - \frac{370}{3} - (- 60)

Simplify

- \frac{370}{3} - (- 60) : - \frac{190}{3}

= - \frac{190}{3}

Graph

Popular Examples

integral from 0 to 4 of (4t^2+t^{3/2})

integral from 4 to 6 of 3x-9

integral from a to b of e^x

integral from-3 to 3 of (x^2-x)

integral from 1 to 4 of 4^{4x}

Frequently Asked Questions (FAQ)

What is the integral from-7 to 3 of-x^2-3x ?
The integral from-7 to 3 of-x^2-3x is -190/3