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Popular >

area x,3x,-x+4

Solution

area

x, 3 x, - x + 4

Solution

2

Solution steps

To find the intersection points solve

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

x = 3 x : x = 0

x = - x + 4 : x = 2

3 x = - x + 4 : 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 - (- x + 4) ∣ d x

\int_{0}^{1} ∣ x - 3 x ∣ d x = 1

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

= 1 + 1

Simplify

= 2

Popular Examples

integral of (x^2-y^2)/((x^2+y^2)^2)

\int \frac{x ^{2} - y ^{2}}{( x ^{2} + y ^{2} ) ^{2}} d y

derivative of e^{xy^2}derivative of

e^{x y^{2}}

derivative of (2x)/(-x+2)derivative of

\frac{2 x}{- x + 2}

integral of 1/(3^{2x)}

\int \frac{1}{3 ^{2 x}} d x

derivative of-1/(2x^{3/2})

\frac{d}{d x} (- \frac{1}{2 x ^{\frac{3}{2}}})

Frequently Asked Questions (FAQ)

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