en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

area x,3x,4-x

Solution

area

x, 3 x, 4 - x

Solution

2

Solution steps

To find the intersection points solve

f_{i} (x) = f_{j} (x)

x = 3 x : x = 0

x = 4 - x : x = 2

3 x = 4 - x : x = 1

= \int_{0}^{1} ∣ f_{1} (x) - f_{2} (x) ∣ d x + \int_{1}^{2} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \int_{0}^{1} ∣ x - 3 x ∣ d x + \int_{1}^{2} ∣ x - (4 - x) ∣ d x

\int_{0}^{1} ∣ x - 3 x ∣ d x = 1

\int_{1}^{2} ∣ x - (4 - x) ∣ d x = 1

= 1 + 1

Simplify

= 2

Popular Examples

integral of sqrt(4-y^2)

\int 4 - y^{2} d y

integral from 0 to 1 of 1/(sqrt(x(1-x)))

\int_{0}^{1} \frac{1}{x ( 1 - x )} d x

slope ofintercept (7.4)(9.8)slope intercept

(7.4) (9.8)

integral of-sin(ln(x))ln(x)

\int - sin (ln (x)) ln (x) d x

x*(dy)/(dx)+4y=1

x \cdot \frac{d y}{d x} + 4 y = 1

Frequently Asked Questions (FAQ)

What is area x,3x,4-x ?
The answer to area x,3x,4-x is 2