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 x-x^2

Solution

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

Solution

- \frac{9}{2}

+1

Decimal

- 4.5

Solution steps

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

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

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

= \frac{9}{2} - 9

Simplify

\frac{9}{2} - 9 : - \frac{9}{2}

= - \frac{9}{2}

Graph

Popular Examples

integral from 0 to 0.9 of e^{-x}+1

integral from 0 to 3 of sec^2(5x)

integral from 0 to 3 of 2e^{-st}

integral from 0 to 1 of 3/2+e^{-y}

integral from 1 to 8 of (1-x)(x-8)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x-x^2 ?
The integral from 0 to 3 of x-x^2 is -9/2