en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-1 to 1 of |x^2-3x|

Solution

\int_{- 1}^{1} x^{2} - 3 x d x

Solution

3

Solution steps

\int_{- 1}^{1} x^{2} - 3 x d x

Eliminate Absolutes

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

\int_{- 1}^{0} x^{2} - 3 x d x = \frac{11}{6}

\int_{0}^{1} - x^{2} + 3 x d x = \frac{7}{6}

= \frac{11}{6} + \frac{7}{6}

Simplify

\frac{11}{6} + \frac{7}{6} : 3

= 3

Graph

Popular Examples

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

integral from 0 to 1 of (x)^2

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

integral from 2 to 5 of 6x

integral from 1 to 5 of |2x-6|

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of |x^2-3x| ?
The integral from-1 to 1 of |x^2-3x| is 3