en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-3 to 2 of |x|

Solution

\int_{- 3}^{2} ∣ x ∣ d x

Solution

\frac{13}{2}

+1

Decimal

6.5

Solution steps

\int_{- 3}^{2} ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= \frac{9}{2} + 2

Simplify

\frac{9}{2} + 2 : \frac{13}{2}

= \frac{13}{2}

Graph

Popular Examples

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

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

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

\int_{0}^{1} (x^{2} + x^{6}) d x

integral from 1 to sin(x) of 7x^6

\int_{1}^{s i n (x)} 7 x^{6} d x

integral from 0 to 1 of ye^{-y}

\int_{0}^{1} y e^{- y} d y

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

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of |x| ?
The integral from-3 to 2 of |x| is 13/2