en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 3 of |x|-1

Solution

\int_{1}^{3} ∣ x ∣ - 1 d x

Solution

2

Solution steps

\int_{1}^{3} ∣ x ∣ - 1 d x

Eliminate Absolutes

= \int_{1}^{3} x - 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{3} x d x - \int_{1}^{3} 1 d x

\int_{1}^{3} x d x = 4

\int_{1}^{3} 1 d x = 2

= 4 - 2

Simplify

= 2

Graph

Popular Examples

integral from-5 to 5 of 4/(x^3)

\int_{- 5}^{5} \frac{4}{x ^{3}} d x

integral from 1 to 3 of x^3e^x

\int_{1}^{3} x^{3} e^{x} d x

integral from 0 to 1 of 3t^3

\int_{0}^{1} 3 t^{3} d t

integral from-3 to 2 of 3x^2

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of |x|-1 ?
The integral from 1 to 3 of |x|-1 is 2