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Popular >

area x,11, 1/44 x^2

Solution

area

x, 11, \frac{1}{44} x^{2}

Solution

\frac{1331}{3}

+1

Decimal Notation

443.66666 \dots

Solution steps

To find the intersection points solve

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

x = \frac{1}{44} x^{2} : x = 44, x = 0

x = 11 : x = 11

\frac{1}{44} x^{2} = 11 : x = 22, x = - 22

= \int_{- 22}^{0} ∣ f_{2} (x) - f_{3} (x) ∣ d x + \int_{0}^{11} ∣ f_{1} (x) - f_{3} (x) ∣ d x + \int_{11}^{22} ∣ f_{1} (x) - f_{3} (x) ∣ d x + \int_{22}^{44} ∣ f_{2} (x) - f_{1} (x) ∣ d x

= \int_{- 22}^{0} \frac{1}{44} x^{2} - 11 d x + \int_{0}^{11} ∣ x - 11 ∣ d x + \int_{11}^{22} ∣ x - 11 ∣ d x + \int_{22}^{44} \frac{1}{44} x^{2} - x d x

\int_{- 22}^{0} \frac{1}{44} x^{2} - 11 d x = \frac{484}{3}

\int_{0}^{11} ∣ x - 11 ∣ d x = \frac{121}{2}

\int_{11}^{22} ∣ x - 11 ∣ d x = \frac{121}{2}

\int_{22}^{44} \frac{1}{44} x^{2} - x d x = \frac{484}{3}

= \frac{484}{3} + \frac{121}{2} + \frac{121}{2} + \frac{484}{3}

Simplify

= \frac{1331}{3}

Popular Examples

integral of 2sqrt(y/5)

\int 2 \frac{y}{5} d y

integral of x/(sqrt(9-x^4))

\int \frac{x}{9 - x ^{4}} d x

y^{''}+2y^'+5y=0,y(0)=2,y^'(0)=-1

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

limit as n approaches infinity of 1/(x^{n-1)}

n \to \infty lim (\frac{1}{x ^{n - 1}})

integral from 1 to 3 of x

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

Frequently Asked Questions (FAQ)

What is area x,11, 1/44 x^2 ?
The answer to area x,11, 1/44 x^2 is 1331/3