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 |2x-x^2|

Solution

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

Solution

\frac{8}{3}

+1

Decimal

2.66666 \dots

Solution steps

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

Eliminate Absolutes

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

\int_{0}^{2} 2 x - x^{2} d x = \frac{4}{3}

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

= \frac{4}{3} + \frac{4}{3}

Simplify

\frac{4}{3} + \frac{4}{3} : \frac{8}{3}

= \frac{8}{3}

Graph

Popular Examples

integral from 1 to 3 of (t^2-t+6)

\int_{1}^{3} (t^{2} - t + 6) d t

integral from-4 to 0 of x^3

\int_{- 4}^{0} x^{3} d x

integral from 0 to pi of (x*sin(x))^2

\int_{0}^{π} (x \cdot sin (x))^{2} d x

integral from pi/2 to pi of 4cos(x)

\int_{\frac{π}{2}}^{π} 4 cos (x) d x

integral from 0 to 3 of 3x^2-4x+1

\int_{0}^{3} 3 x^{2} - 4 x + 1 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |2x-x^2| ?
The integral from 0 to 3 of |2x-x^2| is 8/3