What is area y=-x^3+2,y=x-3,x=-1,x=1 ?

The answer to area y=-x^3+2,y=x-3,x=-1,x=1 is 10

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area y=-x^3+2,y=x-3,x=-1,x=1

area

y = - x^{3} + 2, y = x - 3, x = - 1, x = 1

10

Solution steps

Apply the area formula:

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

Solve

\int_{- 1}^{1} - x^{3} + 2 - (x - 3) d x : 10

The area is:

= 10

\int \frac{x}{y} d y

\frac{\partial}{\partial x} (ln (1 + x^{2} + y))

\int t^{3} e^{- t} d t

f (x) = (x + 2)^{2} e^{- x}

What is area y=-x^3+2,y=x-3,x=-1,x=1 ?
The answer to area y=-x^3+2,y=x-3,x=-1,x=1 is 10