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 x-|x-3|

Solution

\int_{0}^{4} x - ∣ x - 3 ∣ d x

Solution

3

Solution steps

\int_{0}^{4} x - ∣ x - 3 ∣ d x

Eliminate Absolutes

= \int_{0}^{3} x - (- x + 3) d x + \int_{3}^{4} x - (x - 3) d x

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

\int_{3}^{4} x - (x - 3) d x = 3

= 0 + 3

Simplify

= 3

Graph

Popular Examples

integral from 0 to 4 of (8x-1)^2

\int_{0}^{4} (8 x - 1)^{2} d x

integral from-6pi to 5pi of cos^2(x)

\int_{- 6 π}^{5 π} cos^{2} (x) d x

integral from 1 to ln(2) of 4e^{2x}

\int_{1}^{l n (2)} 4 e^{2 x} d x

integral from 1 to 2 of (2x+4x^3)

\int_{1}^{2} (2 x + 4 x^{3}) d x

integral from 0 to 4 of (5x+sqrt(x))

\int_{0}^{4} (5 x + x) d x

Frequently Asked Questions (FAQ)

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