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 5 of |3-x|

Solution

\int_{0}^{5} ∣ 3 - x ∣ d x

Solution

\frac{13}{2}

+1

Decimal

6.5

Solution steps

\int_{0}^{5} ∣ 3 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{3} 3 - x d x + \int_{3}^{5} - 3 + x d x

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

\int_{3}^{5} - 3 + x d x = 2

= \frac{9}{2} + 2

Simplify

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

= \frac{13}{2}

Graph

Popular Examples

(\partial)/(\partial x)(y*r^2)

integral of (5sqrt(ln(x)))/x

xe^{y-x^2}dx-dy=0

(\partial)/(\partial x)(4y+9x^2)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of |3-x| ?
The integral from 0 to 5 of |3-x| is 13/2