What is area y=x^2,y=4-x^2 ?

The answer to area y=x^2,y=4-x^2 is -(8sqrt(2))/3+8sqrt(2)

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area y=x^2,y=4-x^2

area

y = x^{2}, y = 4 - x^{2}

- \frac{8 2}{3} + 82

Decimal Notation

7.54247 \dots

Solution steps

Apply the area formula:

\int_{- 2}^{2} x^{2} - (4 - x^{2}) d x

Solve

\int_{- 2}^{2} x^{2} - (4 - x^{2}) d x : - \frac{8 2}{3} + 82

The area is:

= - \frac{8 2}{3} + 82

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What is area y=x^2,y=4-x^2 ?
The answer to area y=x^2,y=4-x^2 is -(8sqrt(2))/3+8sqrt(2)