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 2 of |x^2-1|

Solution

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

Solution

2

Solution steps

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

Eliminate Absolutes

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

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

\int_{1}^{2} x^{2} - 1 d x = \frac{4}{3}

= \frac{2}{3} + \frac{4}{3}

Simplify

\frac{2}{3} + \frac{4}{3} : 2

= 2

Graph

Popular Examples

integral from pi/6 to pi/2 of cos^2(u)

integral from 0 to pi/4 of (sec(t))^2

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

integral from pi/6 to pi/2 of cos^2(x)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of |x^2-1| ?
The integral from 0 to 2 of |x^2-1| is 2