What is area y=x^3-12x^2+32x,-x^3+12x^2-32x ?

The answer to area y=x^3-12x^2+32x,-x^3+12x^2-32x is 256

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area y=x^3-12x^2+32x,-x^3+12x^2-32x

area

y = x^{3} - 12 x^{2} + 32 x, - x^{3} + 12 x^{2} - 32 x

256

Solution steps

Apply the area formula:

\int_{0}^{8} x^{3} - 12 x^{2} + 32 x - (- x^{3} + 12 x^{2} - 32 x) d x

Solve

\int_{0}^{8} x^{3} - 12 x^{2} + 32 x - (- x^{3} + 12 x^{2} - 32 x) d x : 256

The area is:

= 256

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What is area y=x^3-12x^2+32x,-x^3+12x^2-32x ?
The answer to area y=x^3-12x^2+32x,-x^3+12x^2-32x is 256