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Popular >

area 12-x,sqrt(x),1

Solution

area

12 - x, x, 1

Solution

\frac{34}{3}

+1

Decimal Notation

11.33333 \dots

Solution steps

To find the intersection points solve

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

12 - x = x : x = 9

12 - x = 1 : x = 11

x = 1 : x = 1

= \int_{1}^{9} ∣ f_{2} (x) - f_{3} (x) ∣ d x + \int_{9}^{11} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \int_{1}^{9} x - 1 d x + \int_{9}^{11} ∣ 12 - x - 1 ∣ d x

\int_{1}^{9} x - 1 d x = \frac{28}{3}

\int_{9}^{11} ∣ 12 - x - 1 ∣ d x = 2

= \frac{28}{3} + 2

Simplify

= \frac{34}{3}

Popular Examples

integral of 2e^{2x}

\int 2 e^{2 x} d x

limit as x approaches-10 of (x+15)/(x+5)

x \to - 10 lim (\frac{x + 15}{x + 5})

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

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

(dx)/(dt)=1.5t-(2x)/(100+t)

\frac{d x}{d t} = 1.5 t - \frac{2 x}{100 + t}

\frac{d}{d t} (e^{t} + 4)

Frequently Asked Questions (FAQ)

What is area 12-x,sqrt(x),1 ?
The answer to area 12-x,sqrt(x),1 is 34/3