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 6x-x^2

Solution

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

Solution

\frac{28}{3}

+1

Decimal

9.33333 \dots

Solution steps

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

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

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

= 12 - \frac{8}{3}

Simplify

12 - \frac{8}{3} : \frac{28}{3}

= \frac{28}{3}

Graph

Popular Examples

derivative of cos^3(x^2-x)

integral of \sqrt[3]{1-4sin(x)}*cos(x)

y^2y^'+y^3=1,y(0)=0

integral from 2 to infinity of e^{-2x}

derivative of f(x)=xcos(x^2)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 6x-x^2 ?
The integral from 0 to 2 of 6x-x^2 is 28/3