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+2x

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

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

Simplify

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

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

\int_{0}^{3} 3 x d x = \frac{27}{2}

= - 9 + \frac{27}{2}

Simplify

- 9 + \frac{27}{2} : \frac{9}{2}

= \frac{9}{2}

Graph

Popular Examples

integral from 0 to x of 1/(x^2+1)

integral from 0 to 6 of (1-x^2)

integral from-1 to 2 of 5x^{1/3}

integral from 1 to a of e^{-xy}

integral from-2 to 2 of 3x

Frequently Asked Questions (FAQ)

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