What is area y=8-x^2,y=x^2,x=-3,x=3 ?

The answer to area y=8-x^2,y=x^2,x=-3,x=3 is 92/3

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area y=8-x^2,y=x^2,x=-3,x=3

area

y = 8 - x^{2}, y = x^{2}, x = - 3, x = 3

\frac{92}{3}

Decimal

30.66666 \dots

Solution steps

Apply the area formula:

\int_{- 3}^{3} 8 - 2 x^{2} d x

Solve

\int_{- 3}^{3} 8 - 2 x^{2} d x : \frac{92}{3}

The area is:

= \frac{92}{3}

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What is area y=8-x^2,y=x^2,x=-3,x=3 ?
The answer to area y=8-x^2,y=x^2,x=-3,x=3 is 92/3