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Popular >

area-x,x,-2x+6

Solution

area

- x, x, - 2 x + 6

Solution

12

Solution steps

To find the intersection points solve

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

- x = x : x = 0

- x = - 2 x + 6 : x = 6

x = - 2 x + 6 : x = 2

= \int_{0}^{2} ∣ f_{1} (x) - f_{2} (x) ∣ d x + \int_{2}^{6} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \int_{0}^{2} ∣ - x - x ∣ d x + \int_{2}^{6} ∣ - x - (- 2 x + 6) ∣ d x

\int_{0}^{2} ∣ - x - x ∣ d x = 4

\int_{2}^{6} ∣ - x - (- 2 x + 6) ∣ d x = 8

= 4 + 8

Simplify

= 12

Graph

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Frequently Asked Questions (FAQ)

What is area-x,x,-2x+6 ?
The answer to area-x,x,-2x+6 is 12