en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

area 6-x,sqrt(x),1

Solution

area

6 - x, x, 1

Solution

\frac{13}{6}

+1

Decimal Notation

2.16666 \dots

Solution steps

To find the intersection points solve

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

6 - x = x : x = 4

6 - x = 1 : x = 5

x = 1 : x = 1

= \int_{1}^{4} ∣ f_{2} (x) - f_{3} (x) ∣ d x + \int_{4}^{5} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \int_{1}^{4} x - 1 d x + \int_{4}^{5} ∣ 6 - x - 1 ∣ d x

\int_{1}^{4} x - 1 d x = \frac{5}{3}

\int_{4}^{5} ∣ 6 - x - 1 ∣ d x = \frac{1}{2}

= \frac{5}{3} + \frac{1}{2}

Simplify

= \frac{13}{6}

Popular Examples

derivative of (8x/(7-cot(x)))

\frac{d}{d x} (\frac{8 x}{7 - cot ( x )})

area xln(x),-x+1,[1,3]area

x ln (x), - x + 1, [1, 3]

y^{''}+9y=te^{2t}

y^{^{''}} + 9 y = t e^{2 t}

derivative of x^9ln(4x)

\frac{d}{d x} (x^{9} ln (4 x))

\frac{d}{d t} (3)

Frequently Asked Questions (FAQ)

What is area 6-x,sqrt(x),1 ?
The answer to area 6-x,sqrt(x),1 is 13/6