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 2 of |x|

Solution

\int_{- 1}^{2} ∣ x ∣ d x

Solution

\frac{5}{2}

+1

Decimal

2.5

Solution steps

\int_{- 1}^{2} ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= \frac{1}{2} + 2

Simplify

\frac{1}{2} + 2 : \frac{5}{2}

= \frac{5}{2}

Graph

Popular Examples

derivative of 8x^2sin(x)tan(x)

d er i v a t i v e 8 x^{2} sin (x) tan (x)

derivative of 10000(12+xe^{-0.05x})

\frac{d}{d x} (10000 (12 + x) e^{- 0.05 x})

tangent of f(x)=-4x^2-5x+2

t an g e n t f (x) = - 4 x^{2} - 5 x + 2

integral from 0 to pi of xcos(3x)

\int_{0}^{π} x cos (3 x) d x

integral of (y^2+2y+1)/((y^2+1)^2)

\int \frac{y ^{2} + 2 y + 1}{( y ^{2} + 1 ) ^{2}} d y

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of |x| ?
The integral from-1 to 2 of |x| is 5/2