What is area y=6x^4-6x^2,y=3x^2,x=0 ?

The answer to area y=6x^4-6x^2,y=3x^2,x=0 is (9sqrt(6))/5

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area y=6x^4-6x^2,y=3x^2,x=0

area

y = 6 x^{4} - 6 x^{2}, y = 3 x^{2}, x = 0

\frac{9 6}{5}

Decimal

4.40908 \dots

Solution steps

Apply the area formula:

\int_{- \frac{3}{2}}^{\frac{3}{2}} 6 x^{4} - 9 x^{2} d x

Solve

\int_{- \frac{3}{2}}^{\frac{3}{2}} 6 x^{4} - 9 x^{2} d x : \frac{9 6}{5}

The area is:

= \frac{9 6}{5}

What is area y=6x^4-6x^2,y=3x^2,x=0 ?
The answer to area y=6x^4-6x^2,y=3x^2,x=0 is (9sqrt(6))/5