en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 0 to 2 of-x^2-3x

Solution

\int_{0}^{2} - x^{2} - 3 x d x

Solution

- \frac{26}{3}

+1

Decimal

- 8.66666 \dots

Solution steps

\int_{0}^{2} - 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_{0}^{2} x^{2} d x - \int_{0}^{2} 3 x d x

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 3 x d x = 6

= - \frac{8}{3} - 6

Simplify

- \frac{8}{3} - 6 : - \frac{26}{3}

= - \frac{26}{3}

Graph

Popular Examples

integral from 0 to 2pi of-16sin^2(t)

integral from 1 to 3 of xsqrt(10x^2-9)

integral from 0 to 1 of 2x+2

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

integral from e to 1 of ln(x)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of-x^2-3x ?
The integral from 0 to 2 of-x^2-3x is -26/3