What is area y=x^3-11x^2+30x,y=-x^3+11x^2-30x ?

The answer to area y=x^3-11x^2+30x,y=-x^3+11x^2-30x is 443/3

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area y=x^3-11x^2+30x,y=-x^3+11x^2-30x

area

y = x^{3} - 11 x^{2} + 30 x, y = - x^{3} + 11 x^{2} - 30 x

\frac{443}{3}

Decimal

147.66666 \dots

Solution steps

Apply the area formula:

\int_{0}^{6} x^{3} - 11 x^{2} + 30 x - (- x^{3} + 11 x^{2} - 30 x) d x

Solve

\int_{0}^{6} x^{3} - 11 x^{2} + 30 x - (- x^{3} + 11 x^{2} - 30 x) d x : \frac{443}{3}

The area is:

= \frac{443}{3}

f (x) = 3 - e^{- x}

\frac{d}{d x} (3 7 x)

ln (x)

\int e^{- x} 1 + \frac{1}{e ^{2 x}} d x

arccot (8 y)

What is area y=x^3-11x^2+30x,y=-x^3+11x^2-30x ?
The answer to area y=x^3-11x^2+30x,y=-x^3+11x^2-30x is 443/3