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Popular >

area 2x+4,2-3x,-x

Solution

area

2 x + 4, 2 - 3 x, - x

Solution

\frac{49}{15}

+1

Decimal Notation

3.26666 \dots

Solution steps

To find the intersection points solve

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

2 x + 4 = 2 - 3 x : x = - \frac{2}{5}

2 x + 4 = - x : x = - \frac{4}{3}

2 - 3 x = - x : x = 1

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

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

\int_{- \frac{4}{3}}^{- \frac{2}{5}} ∣ 2 x + 4 - (- x) ∣ d x = \frac{98}{75}

\int_{- \frac{2}{5}}^{1} ∣ - x - (2 - 3 x) ∣ d x = \frac{49}{25}

= \frac{98}{75} + \frac{49}{25}

Simplify

= \frac{49}{15}

Popular Examples

tangent of f(x)=12(x-(1/x)^4),\at x=2 tangent of

f (x) = 12 (x - (\frac{1}{x})^{4}), at x = 2

integral of (x+4)e^{-x}

\int (x + 4) e^{- x} d x

integral of xcos(x^2+5)

\int x cos (x^{2} + 5) d x

integral of (10)/(1-cos(2x))

\int \frac{10}{1 - cos ( 2 x )} d x

derivative of f(x)=x^2-4xy+y^2=4 derivative of

f (x) = x^{2} - 4 x y + y^{2} = 4

Frequently Asked Questions (FAQ)

What is area 2x+4,2-3x,-x ?
The answer to area 2x+4,2-3x,-x is 49/15