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 3 of x^2-x

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

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

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

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

= 9 - \frac{9}{2}

Simplify

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

= \frac{9}{2}

Graph

Popular Examples

integral from 0 to 1 of e^{2x}x

\int_{0}^{1} e^{2 x} x d x

integral from-pi/3 to pi/3 of 6sec^2(x)

\int_{- \frac{π}{3}}^{\frac{π}{3}} 6 sec^{2} (x) d x

integral from 0 to 1 of 2y(1-y)

\int_{0}^{1} 2 y (1 - y) d y

integral from 0 to 5 of 2e^{0.2t}-t

\int_{0}^{5} 2 e^{0.2 t} - t d t

integral from 1 to 2 of (3x^5-2x^3)

\int_{1}^{2} (3 x^{5} - 2 x^{3}) d x

Frequently Asked Questions (FAQ)

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