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Popular >

area x^3,-x,8

Solution

area

x^{3}, - x, 8

Solution

44

Solution steps

To find the intersection points solve

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

x^{3} = - x : x = 0

x^{3} = 8 : x = 2

- x = 8 : x = - 8

= \int_{- 8}^{0} ∣ f_{2} (x) - f_{3} (x) ∣ d x + \int_{0}^{2} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \int_{- 8}^{0} ∣ - x - 8 ∣ d x + \int_{0}^{2} x^{3} - 8 d x

\int_{- 8}^{0} ∣ - x - 8 ∣ d x = 32

\int_{0}^{2} x^{3} - 8 d x = 12

= 32 + 12

Simplify

= 44

Popular Examples

derivative of sqrt((2x-y))

\frac{d}{d x} ((2 x - y))

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

integral from 0 to 6 of 9sqrt(4x+1)

\int_{0}^{6} 9 4 x + 1 d x

36y^{''}-y=0,y(-5)=1,y^'(-5)=-1

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

y^{^{''}} - y^{^{'}} = 0

Frequently Asked Questions (FAQ)

What is area x^3,-x,8 ?
The answer to area x^3,-x,8 is 44