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 3 of 6x-x^2

Solution

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

Solution

18

Solution steps

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

\int_{0}^{3} 6 x d x = 27

\int_{0}^{3} x^{2} d x = 9

= 27 - 9

Simplify

= 18

Graph

Popular Examples

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

\int_{1}^{2} x^{2} + \frac{1}{x ^{4}} d x

integral from 3 to 4 of 2/(25-x^2)

\int_{3}^{4} \frac{2}{25 - x ^{2}} d x

integral from 0 to 4 of 3t-7

\int_{0}^{4} 3 t - 7 d t

integral from 0 to 1 of 3x-3x^2

\int_{0}^{1} 3 x - 3 x^{2} d x

integral from 0 to 4 of 2xe^{x^2}

\int_{0}^{4} 2 x e^{x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 6x-x^2 ?
The integral from 0 to 3 of 6x-x^2 is 18