What is area y=5x^2,y=x^2+2 ?

The answer to area y=5x^2,y=x^2+2 is -(2sqrt(2))/3+2sqrt(2)

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area y=5x^2,y=x^2+2

area

y = 5 x^{2}, y = x^{2} + 2

- \frac{2 2}{3} + 22

Decimal

1.88561 \dots

Solution steps

Apply the area formula:

\int_{- \frac{1}{2}}^{\frac{1}{2}} 5 x^{2} - (x^{2} + 2) d x

Solve

\int_{- \frac{1}{2}}^{\frac{1}{2}} 5 x^{2} - (x^{2} + 2) d x : - \frac{2 2}{3} + 22

The area is:

= - \frac{2 2}{3} + 22

What is area y=5x^2,y=x^2+2 ?
The answer to area y=5x^2,y=x^2+2 is -(2sqrt(2))/3+2sqrt(2)