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 5 of |3x-9|

Solution

\int_{1}^{5} ∣ 3 x - 9 ∣ d x

Solution

12

Solution steps

\int_{1}^{5} ∣ 3 x - 9 ∣ d x

Eliminate Absolutes

= \int_{1}^{3} - 3 x + 9 d x + \int_{3}^{5} 3 x - 9 d x

\int_{1}^{3} - 3 x + 9 d x = 6

\int_{3}^{5} 3 x - 9 d x = 6

= 6 + 6

Simplify

= 12

Graph

Popular Examples

integral from 2 to 5 of x/((x^2+3)^3)

\int_{2}^{5} \frac{x}{( x ^{2} + 3 ) ^{3}} d x

integral from 1 to 4 of (4(ln(x))^3)/x

\int_{1}^{4} \frac{4 ( ln ( x ) ) ^{3}}{x} d x

integral from 0 to 1/2 of 5tcos(pit)

\int_{0}^{\frac{1}{2}} 5 t cos (π t) d t

integral from 0 to 1 of sqrt(3x+3)

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

integral from 3 to 2 of sin(t)

\int_{3}^{2} sin (t) d t

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of |3x-9| ?
The integral from 1 to 5 of |3x-9| is 12