en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 4 of |3x-8|

Solution

\int_{0}^{4} ∣ 3 x - 8 ∣ d x

Solution

\frac{40}{3}

+1

Decimal

13.33333 \dots

Solution steps

\int_{0}^{4} ∣ 3 x - 8 ∣ d x

Eliminate Absolutes

= \int_{0}^{\frac{8}{3}} - 3 x + 8 d x + \int_{\frac{8}{3}}^{4} 3 x - 8 d x

\int_{0}^{\frac{8}{3}} - 3 x + 8 d x = \frac{32}{3}

\int_{\frac{8}{3}}^{4} 3 x - 8 d x = \frac{8}{3}

= \frac{32}{3} + \frac{8}{3}

Simplify

\frac{32}{3} + \frac{8}{3} : \frac{40}{3}

= \frac{40}{3}

Graph

Popular Examples

integral from 1 to x^2 of sin(x)

\int_{1}^{x^{2}} sin (x) d x

integral from 0 to 1 of (2x)^2

\int_{0}^{1} (2 x)^{2} d x

integral from 1 to 8 of (14x)/(x^2+6)

\int_{1}^{8} \frac{14 x}{x ^{2} + 6} d x

integral from 0 to 5 of 50-2x^2

\int_{0}^{5} 50 - 2 x^{2} d x

integral from 0 to 1 of 2^xe^x

\int_{0}^{1} 2^{x} e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |3x-8| ?
The integral from 0 to 4 of |3x-8| is 40/3