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 4 of |2x-4|

Solution

\int_{- 1}^{4} ∣ 2 x - 4 ∣ d x

Solution

13

Solution steps

\int_{- 1}^{4} ∣ 2 x - 4 ∣ d x

Eliminate Absolutes

= \int_{- 1}^{2} - 2 x + 4 d x + \int_{2}^{4} 2 x - 4 d x

\int_{- 1}^{2} - 2 x + 4 d x = 9

\int_{2}^{4} 2 x - 4 d x = 4

= 9 + 4

Simplify

= 13

Graph

Popular Examples

integral from 2 to 3 of x^2-4

\int_{2}^{3} x^{2} - 4 d x

integral from 1 to x of 7/(t^3+1)

\int_{1}^{x} \frac{7}{t ^{3} + 1} d t

integral from 0 to 1 of sqrt(4x+6)

\int_{0}^{1} 4 x + 6 d x

integral from 1 to 3 of x^2ln(x)-9ln(x)

\int_{1}^{3} x^{2} ln (x) - 9 ln (x) d x

integral from-1 to 1 of x^2+4

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 4 of |2x-4| ?
The integral from-1 to 4 of |2x-4| is 13