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 3 of x+2|x|

Solution

\int_{- 3}^{3} x + 2 ∣ x ∣ d x

Solution

18

Solution steps

\int_{- 3}^{3} x + 2 ∣ x ∣ d x

Eliminate Absolutes

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

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

\int_{0}^{3} x + 2 x d x = \frac{27}{2}

= \frac{9}{2} + \frac{27}{2}

Simplify

\frac{9}{2} + \frac{27}{2} : 18

= 18

Graph

Popular Examples

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

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

integral from 0 to 5 of 1/(sqrt(5x+2))

\int_{0}^{5} \frac{1}{5 x + 2} d x

integral from 0 to 1 of 2xsin(npix)

\int_{0}^{1} 2 x sin (nπ x) d x

integral from 0 to 3 of x^2y^3

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

integral from 0 to 3 of pi(y^2)^2

\int_{0}^{3} π (y^{2})^{2} d y

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of x+2|x| ?
The integral from-3 to 3 of x+2|x| is 18