en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 6 of 3x-x^2

Solution

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

Solution

- 18

Solution steps

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

\int_{0}^{6} 3 x d x = 54

\int_{0}^{6} x^{2} d x = 72

= 54 - 72

Simplify

= - 18

Popular Examples

derivative of 1/(x-3)derivative of

\frac{1}{x - 3}

limit as x approaches 0-of cos(x)

x \to 0 - lim (cos (x))

integral of xcos^4(x)

\int x cos^{4} (x) d x

integral of ((x+5)/(sqrt(x)))

\int (\frac{x + 5}{x}) d x

sum from n=0 to infinity of 1-cos(1/n)

n = 0 \sum \infty 1 - cos (\frac{1}{n})

Frequently Asked Questions (FAQ)

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