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 6-x^2-x

Solution

\int_{0}^{2} 6 - x^{2} - x d x

Solution

\frac{22}{3}

+1

Decimal

7.33333 \dots

Solution steps

\int_{0}^{2} 6 - x^{2} - 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} 6 d x - \int_{0}^{2} x^{2} d x - \int_{0}^{2} x d x

\int_{0}^{2} 6 d x = 12

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

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

= 12 - \frac{8}{3} - 2

Simplify

12 - \frac{8}{3} - 2 : \frac{22}{3}

= \frac{22}{3}

Graph

Popular Examples

integral from-3 to 3 of 2x^2

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

integral from 4 to-4 of (1/2 x+3)

\int_{4}^{- 4} (\frac{1}{2} x + 3) d x

integral from 0 to cos(x) of (x)

\int_{0}^{c o s (x)} (x) d x

integral from 0 to 1 of z

\int_{0}^{1} z d z

integral from 1 to 100 of e^x

\int_{1}^{100} e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 6-x^2-x ?
The integral from 0 to 2 of 6-x^2-x is 22/3